Boat And Stream Question

 

TYPE - 1

1- A man rows a boat 18 km in 4 hours down stream and
return upstream in 12 hours. The speed of the
stream ( in km/hr ) is :
(1) 1 (2) 1.5

(3) 2 (4) 1.75
2- A motorboat in still water travels at a speed of 36 km/hr.
It 56 km upstream in 1 hour 45 minutes. The time taken by
it to cover the same distance down the stream will be :

(1) 1 hour 22 mint (2) 1 hour 23 mint

(3) 1 hour 24 mint (4) 1 hour 25 mint

3- A boat rowed down a river at 21 km/hr. And rowed up
the river at 9 km/hr. What is the velocity of the stream ?
(1) 4 km/ hr (2) 5 km/ hr

(3) 6 km/ hr (4) 6.5 km/ hr

4- A swimwear can swim downstream at 14 km /hr and upstream
at 6 km /hr. What is the speed of the swimmer in still water ?
(1) 10 km/ hr (2) 9.5 km/ hr

(3) 11 km/ hr (4) 12 km/ hr

5- The speed of a boat in still water is 4 km/hr while it's speed
against the stream is 2 km/hr. What is the velocity
of the stream ?
(1) 3 km/ hr (2) 3.5 km/ hr

(3) 2.5 km/ hr (4) 2 km/ hr

6- The speed of a boatman in the direction of stream
is 15 km/hr. What is the velocity of the boat
man against the stream ?
(1) 11 km/ hr (2) 12 km/ hr

(3) 16.30 km/ hr (4) 14.75 km/ hr

7- A boat downstream cover a distance of 20 km in 2 hours
while it cover the same distance upstream in 5 hrs.
Then speed of the boat in still water is :
(1) 7 km/ hr (2) 8 km/ hr

(3) 9 km/ hr (4) 10 km/ hr

8- A man rows 40 km upstream in 8 hours and a
distance of 36 km downstream in 6 hours.
Then speed of stream is :

(1) 0.5 km/ hr (2) 1 km/ hr

(3) 1.5 km/ hr (4) 2 km/ hr

9- A boat goes 40 km upstream in 8 hours
and 36 km in downstream in 6 hours.
The speed of the boat in still water is :
(1) 4.5 km/ hr (2) 5.5 km/ hr

(3) 6.5 km/ hr (4) 7.5 km/ hr

10- The speed of the current is 5 km/hr . A motorboat goes 10 km
upstream and back again to the starting point in 50 minutes.
The speed ( in km / hr ) of the motorboat in still water is :
(1) 20 (2) 25

(3) 30 (4) 35

ANS-

1- 2 2- 3 3- 3 4- 1 5- 4 6- 2 7- 1 8- 1 9- 2 10-2

Type- 2 1- A boat goes 6 km an hour in still water, but
take thrice as much time in going the same
distance against the current. The speed
of the current ( in km/hr ) is :
(1) 1 (2) 2

(3) 3 (4) 4

2- A man can row 30 km downstream and return in a total
of 8 hours. If the speed of the boat in still water is four times
the speed of the current, then the speed of the current is :
(1) 4 km/ hr (2) 2 km/ hr

(3) 1 km/ hr (4) 3 km/ hr

3- A man can row at a speed of 9/2 km/hr in still water.
If he takes 2 times as long to row the same distance
downstream, then the speed of stream ( in km/hr ) is :
(1) 0.5 (2) 1

(3) 1.5 (4) 2

ANS-

1- 4 2- 2 3- 3

Type- 3 1- A man can row at 5 km/hr. in still water. If the
velocity of the current is 1 km/hr. and it takes
him 1 hour to row to a place and come back,
how far is the place ?
(1) 2.5 km (2) 2.6 km

(3) 2.7 km (4) 2.4 km

2- The speed of a motor - boat is that of the current
of water as 36:5. The boat goes along with the
current in 5 hours 10 minutes. It will
come back in :
(1) 6 hours (2) 6.30 hours

(3) 6.40 hours (4) 6.50 hours

3- A man can row 6 km/hr in still water. If the speed
of the current is 2 km/hr, takes 3 hours more in
upstream then in the downstream for the
same distance is :

(1) 20 km (2) 24 km

(3) 28 km (4) 30 km

4- Speed of a boat is 5 km/hr in still water and the
speed of the stream is 3 km/hr. If the boat takes
3 hours to go to a place and come back,
the distance of the place is :
(1) 4.8 km (2) 5.8 km

(3) 6.8 km (4) 7.8 km

5- The speed of boat along the stream is 12 km/hr
and against the stream is 8 km/hr. The time taken
by the boat to sail 24 km in still water is :

(1) 2 hours (2) 3 hours

(3) 2.4 hours (4) 1.2 hours

ANS-

1- 4 2-4 3-2 4-1 5-3

Time And Distance Question

 Type 1

1- A train is travelling at the rate of 45 km/hr.
How many seconds it will take to cover a
distance of 4/5 km ?

(1) 36 sec. (2) 64 sec.

(3) 90 sec. (4) 120 sec.

2- An aeroplane cover a certain distance
at a speed of 240 km hour in 5 hours. To
cover the same distance in 5/3 hours, it
must travel at a speed of :

(1)300 km./hr. (2) 360 km./hr.

(3) 600 km./hr. (4) 720 km./hr.

3- A man walking at at the rate of 5 km/hr.
crosses a bridge in 15 minutes. The length
of bridge is:

(1) 600 (2) 750

(3) 1000 (4) 1250

4- A car goes 10 meters in a second.
Find its speed in km/hr?

(1) 40 (2) 32

(3) 48 (4) 36

5- A man travelled a certain distance by train at the
rate of 25 kmph. I'd the whole journey took 5 hours and
48 minutes, the distance was:

(1) 25 (2) 30

(3) 20 (4) 15

6- A boy goes to his school from his house at a speed of 3 km/hr
and return at a speed of 2 km/hr. If he takes 5 hours in going and
coming the distance between his house and school is :

(1) 6 km (2) 5 km

(3) 5.5 km (4) 6.5 km

7- A boy runs 20 km in 2.5 hours. How long will he
take to run 32 km at double the previous speed ?

(1) 2 hours (2) 5/2 hours

(3) 9/2 hours (4) 5 hours

8- A train is moving with the speed of 180 km/hr. It's speed
in metres per second is:

(1) 5 (2) 40

(3) 30 (4) 50

9- A and B travel the same distance at speed of 9 km/hr
and 10 km /hr respectively. If A takes 36 minutes more
than B, the distance travelled by each is:

(1) 48 km (2) 54 km

(3) 60 km (4) 66 km

10- A person start his journey in morning. At 11 am he
cover 3/8 of his journey and on the same day at 4.30 pm
he covered 5/6 of the journey. He started his journey at:

(1) 6 am (2) 3.30 am

(3) 7 am (4) 6.30 am

11- The speed of a bus is 72 km/hr. The distance covered
by the bus in 5 seconds is:

(1) 100 m (2) 60 m

(3) 50 m (4) 74.5 m

12- Walking at the rate of 4 km an hour, a man cover a certain
distance in 3 hours 45 minutes. If he covers the same distance
on cycle, cycling at the rate of 16.5 km/ hr, the time taken
by him is:

(1) 55.45 mint (2) 54.55 mint

(3) 55.44 mint (4) 45.55 mint

13- A man walks 'a' km in 'b' hours. The time taken to
walk 200 meters is:

(1) 200 b/a hours (2) b / 5a hours

(3) b/a hours (4) ab/200 hours

14- A man rides at the rate of 18 km/hr but stops for
6 mins. to change horses at the end of every 7th km.
The time that he will take to cover a distance
of 90 km is:

(1) 6 hours (2) 6 hours 12 mints

(3) 6 hours 18 mints (4) 6 hours 24 mints

15- A speed of 30.6 km/hour is the same as:

(1) 8.5 m/sec. (2) 10 m/sec.

(3) 12 m/sec. (4) 15.5 m/sec.

16- A man covers 2/15 of the total journey by train,
9/20 by bus and the remaining 10 km on foot.
His total journey (in km) is:

(1) 15.6 (2) 24

(3) 16.4 (4) 12.8

17- You arrive at your school 5 minutes late if you
walk with a speed of 4km/hr , but you arrives 10 mins
before the scheduled time if you walk with a speed
of 5km/hr . Te distance of your school from
your house (in km) is :

(1) 4 (2) 5

(3) 10 (4) 2

18- Sarita and julie start walking from the same place
in the opposite directions . If julie walks at a speed
of 5/2 km/hr and sarita at a speed of 2 km/hr, how much
time will they be 18 km apart ?

(1) 4.0 hrs (2) 4.5 hrs

(3) 5.0 hrs (4) 4.8 hrs

19- A car driver leaves Bangalore at 8:30 A.M. and expects to reach a place 300 km from bangalore at 12:30 P.M. . At 10:30 he finds that he has covered only 40% of the distance . By how much he has to increase the speed of the car in order to keep up his schedule ?

(1) 45 km/hr (2) 40 km/hr

(3) 35 km/hr (4) 30 km/hr

20- A man is walking at a speed of 10 km/hr . After every km,
he takes a rest of 5 minutes . How much time will he take to
cover a distance of 5 km ?

(1) 60 mints (2) 50 mints

(3) 40 mints (4) 70 mints

21- Motor-cyclist P started his journey at a speed of 30km/hr .
After 30 mins , motor-cyclist Q started from the same place
but with a speed of 40km/hr . How much time (in hours)
will Q take to overtake P ?

(1) 1 (2) 3/2

(3) 3/8 (4) 2

22- A is twice as fast as B and B is thrice as fast as C is .
The journey covered by C in 3/2 hr will be
covered by A in

(1) 15 mints (2) 20 mints

(3) 30 mints (4) 1 hours

23- A truck travels at 90km/hr for the first 3/2 hrs .
After that it travels at 70 km/hr . Find the time taken
by the truck to travel 310 km 

(1) 2.5 hours (2) 3 hours

(3) 3.5 hours (4) 4 hours

ANS-


1- 2 2- 4 3- 4 4- 4 5- 3 6- 1 7- 1 8- 4 9- 2 10- 4

11- 1 12-2 13-2 14-2 15-1 16-2 17-2 18-1 19-4 20- 1

21-2 22-1 23-4



type- 2


1- The lenght of a train and that of a platform are equal .
If with a speed of 90 km/hr the train crosses the platform
in one minute , then the length of the train
(in meters) is :

(1) 500 (2) 600

(3) 750 (4) 900

2- A train passes two bridges of lengths 800 m and
400 m in 100 secs and 60 secs respectively .
The length of the train is:

(1) 80 m (2) 90 m

(3) 200 m (4) 150 m

ANS-

1- 3 2- 3 

Time And Work Question

 type-1

 1-A can do a work in 6 days and B in 9 days. How many days will both take
    together to complete the work?
   (1)3.6 days           (2)4.6 days

   (3)5.6 days           (4)6.6 days

2-A, B and C individually can do a work in 10 days, 12 days and 15 days respectively.
    If they start working together, then the no of days required to finish the work is:
  

(1) 16 days       (2) 8  days

(3) 4 days        (4) 2  days

3- A and B can do a work in 12 days ,B and C in 15 days and C and A in 20 days.
    If A, B and C work together, they will complete the work in:

     (1) 5 days          (2) 7 days
   
     (3)10 days          (4)12 days

4-A and B can do a work in 72 days ,B and C in 120 days and C and A in 90 days.
    If A, B and C work together, they will complete the work in:

(1) 50 days       (2) 60 days

(3) 70 days        (4) 80 days

5- A can do a work in 4 hours, B and C in 3 hours, C and A in 2 hours.
    How long will B alone take to do it?

(1) 10 hours            (2) 12 hours

(3) 8 hours             (4) 24 hours

6- A and B can do a work in 8 days, B and C in 12 days. All of three together

 can complete the work in 6 days. In how much time will A and c together complete the work?

(1) 8 days       (2) 10 days

(3) 12 days        (4) 20 days

 7-A can do a work in 'm' days and B in 'n' days. How many days will both take
    together to complete the work?

(1) (m + n) days       (2) (m-n) days

(3) (m + n) / mn days        (4) mn / (m+n) days

 8- A can do as much work as B and C together can do. A and B can together do
a piece of work in 9 hours 36 minutes and C can do it in 48 hours. The time ( in
hours ) that B needs to do the work alone, is:


(1) 18 days       (2) 24 days

(3) 30 days        (4) 12 days

9- Three men A, B and C working together can do a job in 6 hours less time then
    A alone, in 1 hour less time then B alone and in one half  the time needed by C
   when working alone. Then A and B together can do the job in:

(1) 2/3 hours            (2) 3/4 hours

(3) 3/2 hours             (4) 4/3 hours

10- A takes three times as long as B and C together to do a job. B takes four times as
     long as A and C together  to do the work. If all the three, working together can
complete the job in 24 days, then the no of days, A alone will take to finish the job is:

(1)  100              (2) 96

(3) 95                (4) 90



ANS:-

  1- 1       2- 3       3 -3      4-2       5-2       6- 1       7- 4        8-2          9-4          10-2


type- 2

1- A and B can do a work in 18 and 24 days respectively. They
worked together for 8 days and then A left. The remaining work
was finished by B in:

(1) 15/3                    (2) 16/3

(3)   17/3                       (4) 18/3


2- A can do a piece of work in 12 days and B can do it in 18 days.
They work together for 2 days and then A leaves.How long will B
take to finish the remaining work?

(1) 6   days                  (2) 8  days

(3) 10  days                     (4) 13 days

3-A and B can so a job in 6 and 12 days respectively.
They began the work together but A leaves after 3 days.
Then the total number of days needed for the completion
of the work is:

(1) 4  days                   (2) 6  days

(3)  5  days                    (4) 9  days

4-A and B can do a piece of work in 30 days while B and C q can do
the same work in 24 days and C and A in 20 days. They all work together
for 10 days when B and C leave. How many days more will A take to finish
the work ?

(1) 18  days                   (2) 24  days

(3) 30   days                    (4) 36  days

5- 8 men can do a work in 12 days. After 6 days of work, 4 more men
were engaged to finish the work. In how many days would the remaining
work be completed ?

(1) 2  days                    (2) 3 days

(3) 4 days                      (4) 5 days

6-A certain no of person can complete the work in 55 days.
If there were 6 person more, the work could be finish in 11 days less.
How many person were originally there ?

(1) 17 days                    (2) 24 days

(3)  30 days                     (4) 22 days

7- A and B can do a piece of work in 10 days and 15 days
respectively. If they work on Alternatively days beginning
with A, in how many days will the work be completed ?

(1) 18 days                    (2) 13 days

(3) 12 days                      (4) 6 days

8- A and B can do a piece of work in 28 and 35 days respectively.
They began to work together but A leaves after some time and
B completed remaining work in 17 days. After how many days
did A leaves ??

(1) 6 days                    (2) 7 days

(3) 8 days                      (4) 9 days

9- A man and a boy can complete a work together in 24 days.
If for the last 6 days man alone does the work it is completed
in 26 days. How many days boy alone complete the work?

(1) 72  days                    (2) 20 days

(3) 24 days                      (4) 36 days

10- A can complete a piece of work in 10 days, B in 15 days
and C in 20 days. A and C work together for 2 days and
then A was replaced by B. In how many days all together ,
was the work completed ?

(1) 12 days                    (2)10 days

(3) 6 days                      (4) 8 days

11- If 12 men or 24 boys can do a work in 66 days ,
the number of days in which 15 men and 6 boys
can do it is :

(1) 44 days                    (2) 33 days

(3) 55  days                  (4) 66 days



ANS:-

  1- 2        2-4        3 -3      4- 1      5- 3      6- 2         7-3         8-3         9- 1         10-4            
11-1         12-