SPEED TIME AND DISTANCE Question Sheet (BOATS AND STREAM)

Table Of Content

Practice Question

Answer Key

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SPEED TIME AND DISTANCE Question

Q.1 If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 3 kmph, then the speed of the boat in still water is

a.10 kmph

b.13 kmph

c.19 kmph

d.4 kmph

Q.2 A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?

a.4 km/hr

b.6 km/hr

c.8 km/hr

d.Data inadequate

Q.3 A boat covers a certain distance downstream in 1 hour, while it comes back in 1.5 hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?

a.12 kmph

b.13 kmph

c.14 kmph

d.15 kmph

Q.4 A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the speed of the stream is:

a.2 : 1

b.3 : 1

c.3 : 2

d.4 : 3

Q.5 A boat takes 8 hours to travel from a place A to B downstream and back from B to A upstream. If the distance from A to B is 75 km, and the speed of the current is 5 km/h, then the speed of the boat in still water is:

a.10 km/h

b.15 km/h

c.20 km/h

d.25 km/h

Q.6 A boat can cover a certain distance in 2 hours and 20 minutes and 5 hours 40 minutes going downstream and upstream respectively. Find the ratio of speed of the boat and speed of stream.

a.12 : 5

b.7 : 13

c.13 : 7

d.5 : 12

Q.7 Arpit can row upstream in 40 minutes to cover a distance of 24 km, while it takes 22 minutes to cover a distance of 44 km in downstream. Find the speed of stream.

a.36 km/h

b.40 km/h

c.42 km/h

d.44 km/h

Q.8 The speed of the current is 3.5 km/h. If a boat goes downstream 168 km in 16 hours, then how much distance (in km) it will go in upstream direction in 18 hours?

a.60 km

b.63 km

c.69 km

d.72 km

Q.9 If the sum of upstream and downstream speed is 48 km/hr and the speed of the stream is 8 km/hr, then find the time taken to cover 144 km downstream.

a.2.5 hours

b.4.5 hours

c.3.5 hours

d.5.5 hours

Q.10 The ratio of the speed of the boat upstream to the speed of the boat downstream is 2 : 3. What is the speed of the boat in still water if it covers 42 km downstream in 2 hours 20 minutes? (in km/h)

Q.11 Find the speed of a boat in still water if the boat goes 18 km downstream and comes back to the starting point in 6 hours and the rate of flow of river water is 4 km/hr.

a.2 km/h

b.4 km/h

c.6 km/h

d.8 km/h

Q.12 Total time taken by a boat to travel a distance of (x – 20) km upstream and (x + 20) km downstream is 9 hours. If the speed of boat in still water is 17.5 km/h, while the speed of stream is 2.5 km/h. find the value of ‘x’.

Q.13 A boat has a speed of 26 km/hr in a still water. The speed of current is 2 km/hr and it increases by 2 km/hr after every hour find the time in which the boat will cover 130 km in downstream.

a.4 hrs 10 min

b.4 hrs 30 min

c.5 hrs 10 min

d.Cannot be determined

Q.14 Two boats A and B start towards each other from two places, 150 km apart. Speed of the boat A and B in still water are 16 km/hr and 14 km/hr respectively. If A proceeds down and B up the stream, they will meet after?

a.4 hours

b.5 hours

c.6 hours

d.None of these

Q.15 Speed of a boat is 25 km per hour in still water and the speed of the stream is 5 km per hour. If the boat takes 15 hrs to go to a place and come back, the distance of the place is?

a.160 km

b.240 km

c.220 km

d.180 km

Q.16 A man travels by a motor boat down a river to his office and back. With the speed of the river unchanged, if he doubles the speed of his motor boat, then his total travel time gets reduced by 75%. The ratio of the original speed of the motor boat to the speed of the river is:

a.√6 : √2

b.√7:2

c.2√5:3

d.3:2

Q.17 Bunty is going up the escalator. It takes Bunty 80 seconds to walk up the escalator which is moving upwards and 120 seconds to walk up the escalator which is moving downwards. Calculate the time taken by Bunty to climb the escalator which is stationary.

a.16 seconds

b.32 seconds

c.80 seconds

d.96 seconds

Q.18 Two persons are climbing up on two moving esclators which have 120 steps. The ratio of 1st person's speed to that of the esclator is 2:3 (steps). The ratio of 2nd person's speed to that of esclator 3:5 (steps). The total number of steps taken by both the persons are:

a.85

b.93

c.80

d.75

Q.19 A person climbed up a stopped escalator in the 60s. If standing on the same escalator but escalator running up with constant speed, he takes 40s. How much time is taken by the person to walk up in the moving escalator?

a.35 seconds

b.27 seconds

c.24 seconds

d.45 seconds

Q.20 Suresh and Mukesh are walking up on an upward-moving escalator. It took 60 steps for Suresh to reach the top whereas Mukesh took 64 steps. While moving up, Mukesh took 4 steps for every 3 step Suresh took. What was the total number of steps in that escalator?

a.50 steps

b.60 steps

c.80 steps

d.90 steps

Q.21 A boat has to cover 1500 km long-river in downstream with the speed of current 10 km/hrs. There comes a storm after 4 hours of journey due to this in next 6 hrs the boat sails 500 km but after end of storm the speed of current got reduced and the boat reaches the destination at the same time had the storm not come. If the speed of boat in still water is 65 km/h, find the percentage reduction in speed of current?

a.25%

b.40%

c.50%

d.80%

Q.22 If Ram takes 48 seconds to climb up a ‘moving up’ escalator and 72 seconds to move down same escalator. In what time will he climb up when he is stationary and only escalator is moving?

a.288 sec

b.144 sec

c.96 sec

d.192 sec

Q.23 Ram and Shyam walk up an escalator at different speeds. Speed of Ram is three times that of Shyam.  Ram and Shyam takes 60 and 36 steps respectively to climb a escalator. How many steps the escalator will have?

a.74

b.80

c.84

d.90

Q.24 Ravi takes 60 seconds on an escalator which is moving down when he walks down but takes 40 seconds when he runs down. He takes 20 steps when he walking whereas he takes 30 steps when he is running. What is the total number of steps in the escalator?

Q.25 A man travels by a motorboat down a river to his office and back. With the speed of the river unchanged, if he doubles the speed of his motorboat, then his total travel time gets reduced by 80%. The ratio of the original speed of the motorboat to the speed of the river is:

a.

b.

c.

d.None 

Q.26 Bunty is going up the escalator. It takes Bunty 80 seconds to walk up the escalator which is moving upwards and 120 seconds to walk up the escalator which is moving downwards. Calculate the time taken by Bunty to climb the escalator which is stationary.

a.48 seconds

b.50 seconds

c.96 seconds

d.100 seconds

Q.27 Bunty is climbing up the moving escalator that is going up he takes 60 steps to reach the top while Babli is coming down the same escalator. The speed’s ratio of Bunty and Babli is 3:5. Calculate the number of steps if it’s given that both of them take same time to reach the other end.

a.20 steps

b.40 steps

c.60 steps

d.80 steps

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ANSWERS FOR SPEED TIME AND DISTANCE QUESTION (BOATS AND STREAM)

1	2	3	4	5	6	7	8	9	10
B	B	D	B	C	A	C	B	B	15
11	12	13	14	15	16	17	18	19	20
D	80	A	B	D	B	D	B	C	C
21	22	23	24	25	26	27
C	A	D	50	D	C	D