Time, Speed & Distance (IPMAT/JIPMAT) - Free PYQs + Solutions | AfterBoards
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Time, Speed & Distance - Past Year Questions

Q1:

A boat goes 96 km upstream in 8 hours and covers the same distance moving downstream in 6 hours. On the next day it starts from point A, goes downstream for 1 hour, then upstream for 1 hour, and repeats this for four more times, that is, 5 upstream and 5 downstream journeys. Then the boat would be
Answer options
Option: 2
Correct Answer
Explanation →

Q2:

A helicopter flies along the sides of a square field of side length 100 kms. The first side is covered at a speed of 100 kmph, and for each subsequent side the speed is increased by 100 kmph till it covers all the sides. The average speed of the helicopter is
Answer options
Option: 3
Correct Answer
Explanation →

Q3:

Vinita drives a car which has four gears. The speed of the car in the fourth gear is five times its speed in the first gear. The car takes twice the time to travel a certain distance in the second gear as compared to the third gear. In a 100 km journey, if Vinita travels equal distances in each of the gears, she takes 585 minutes to complete the journey. Instead, if the distances covered in the first, second, third, and fourth gears are 4 km, 4 km, 32 km, and 60 km, respectively, then the total time taken, in minutes, to complete the journey, will be
312
Correct Answer
Explanation →

Q4:

In a 400-metre race, Ashok beats Bipin and Chandan respectively by 15 seconds and 25 seconds. If Ashok beats Bipin by 150 metres, by how many metres does Bipin beat Chandan in the race?
Answer options
Option: 1
Correct Answer
Explanation →

Q5:

When Geeta increases her speed from 1212 km/hr to 2020 km/hr, she takes one hour less than the usual time to cover the distance between her home and office. The distance between her home and office is ___________ km.
30
Correct Answer
Explanation →

Q6:

A train left point A at 12 noon. Two hours later, another train started from point A in the same direction. It overtook the first train at 8 PM. It is known that the sum of the speeds of the two trains is 140 km/hr. Then, at what time would the second train overtake the first train, if instead the second train had started from point A in the same direction 5 hours after the first train? Assume that both the trains travel at constant speeds.
Answer options
Option: 3
Correct Answer
Explanation →

Q7:

Two friends run a 3-kilometer race along a circular course of length 300 meters. If their speeds are in the ratio 3:2, the number of times the winner passes the other is __________.
3
Correct Answer
Explanation →

Q8:

Two small insects, which are xx metres apart, take uu minutes to pass each other when they are flying towards each other, and vv minutes to meet each other when they are flying in the same direction. Then, the ratio of the speed of the slower insect to that of the faster insect is
Answer options
Option: 3
Correct Answer
Explanation →

Q9:

Ram and Shyam run a race between points AA and B,5 kmB, 5 \mathrm{~km} apart. Ram starts at 9 AM from AA at a speed of 5 km/hr5 \mathrm{~km} / \mathrm{hr}, reaches BB and returns to AA at the same speed. Shyam starts at 9:45AM9: 45 \mathrm{AM} from A\mathrm{A} at a speed of 10 km/hr10 \mathrm{~km} / \mathrm{hr}, reaches BB and comes back to AA at the same speed.
At what time does Shyam overtake Ram ?
Answer options
Option: 2
Correct Answer
Explanation →

Q10:

Ram and Shyam run a race between points AA and B,5 kmB, 5 \mathrm{~km} apart. Ram starts at 9 AM from A at a speed of 5 km/hr5 \mathrm{~km} / \mathrm{hr}, reaches BB and returns to AA at the same speed. Shyam starts at 9:45AM9: 45 \mathrm{AM} from A\mathrm{A} at a speed of 10 km/hr10 \mathrm{~km} / \mathrm{hr}, reaches BB and comes back to AA at the same speed.
At what time do Ram and Shyam meet each other ?
Answer options
Option: 2
Correct Answer
Explanation →

Q11:

A person travels three equal distances at a speed of 'a' km/hr\mathrm{km} / \mathrm{hr}, 'b' km/hr\mathrm{km} / \mathrm{hr} and ' cc ' km/hr\mathrm{km} / \mathrm{hr} respectively. What is the average speed for the whole journey?
Answer options
Option: 4
Correct Answer
Explanation →

Q12:

Aman takes half the time in rowing a certain distance downstream than upstream.
Statement (I): Ratio of the speed of the boat in still water to the speed of the water current is 2: 1.
Statement (II): If the speed of the boat in still water is 6 km per hour, then the speed of the water current is 2 km per hour.
Choose the most appropriate answer from the options given below.
Answer options
Option: 4
Correct Answer
Explanation →

Q13:

Two persons A and B start from the same point to travel from Chandigarh to Ambala. The distance between Chandigarh and Ambala is 60 km60 \text{ km}. Speed of A is 4 km/hr4 \text{ km/hr} slower than B. B, when reaches Ambala, starts back via the same route without taking any rest and meets A who was still 12 km12 \text{ km} away from Ambala. Find the speed of A.
Answer options
Option: 2
Correct Answer
Explanation →

Q14:

Given below are two statements based on the following:
A motor boat can travel 30 km upstream and 28 km downstream in 7 hours. It can travel 21 km upstream and return in 5 hours.
Statement I: Speed of the boat in still water is 12 km per hour.
Statement II: Speed of the stream is 4 km per hour.
In the light of the above statements, choose the correct answer from the options given below:
Answer options
Option: 3
Correct Answer
Explanation →

Q15:

A man rows 20 km upstream and back again to the starting point in 110 minutes. If the speed of the stream is 2 kmph, then the speed of rowing in still water is
Answer options
Option: 2
Correct Answer
Explanation →

Q16:

A train with 90 kmph crosses a bridge in 36 s. Another train 100 m shorter crosses the same bridge at 45 kmph. The time taken by the second train to cross the bridge will be
Answer options
Option: 2
Correct Answer
Explanation →

Q17:

In a flat race, A beats B by 15 m and C by 29 m. When B and C run over the same course together, B wins by 15 m. The length of the course is
Answer options
Option: 3
Correct Answer
Explanation →

Q18:

A boy covers a certain distance on a toy train. If the train moved 4 kmph faster, it would take 30 minutes less. If it moved 2 kmph slower, it would have taken 20 minutes more. The distance is
Answer options
Option: 3
Correct Answer
Explanation →

Q19:

In a 1000 meter race Rishi beats Koustab by 50 meters. In the same race, by what time margin Koustab beat Pandey who runs at 4 meter per second?(Since data is insufficient, this question was cancelled)
Answer options
Option: 0
Correct Answer
Explanation →

Q20:

Guru and Chela walk around a circular path of 115 km in circumference, they start together from the same point. If they walk at speed of 4 and 5 kmph respectively, also they walk in the same direction, when will they meet?
Answer options
Option: 1
Correct Answer
Explanation →

Q21:

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If the time taken by boat to travel upstream on Wednesday is 67\frac{6}{7} times the time taken to travel downstream on Monday and the speed of boat in still water on Monday is 15 kmph, then find the speed of boat in still water on Wednesday? (Speed of boat in still water is different for different days)
Answer options
Option: 0
Correct Answer
Explanation →

Q22:

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If the time taken by boat to travel upstream on Monday is 271527 \frac{1}{5} hrs more than the time taken by it to travel downstream on the same day, then find the speed of boat in still water on Monday? (speed of boat in still water is the same in upstream as in downstream)
Answer options
Option: 1
Correct Answer
Explanation →

Q23:

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If the speed of boat in still water on Saturday was 27 km/hr and the speed of boat in still water on Wednesday was 6623%66 \frac{2}{3}\% more than that of Saturday and time taken to travel upstream on Wednesday is 1613\frac{16}{13} times than time taken by it to travel downstream on Saturday, then find the speed of stream (in kmph) on Saturday?
Answer options
Option: 3
Correct Answer
Explanation →

Q24:

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The speed of boat in still water on Saturday was 21 km/hr, and that on Sunday was 2847%28 \frac{4}{7}\% more than that on Saturday. If the time taken by boat to travel upstream on Saturday is 2122\frac{1}{2} times the time taken to travel downstream on Sunday, then find the time taken by the boat to cover a distance of 125 km upstream on Saturday?
Answer options
Option: 4
Correct Answer
Explanation →

Q25:

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If the time taken by boat to travel upstream on Friday is 30 hours more than the time taken by it to travel downstream on Wednesday and the speed of boat in still water on Friday is 17 kmph, then find the upstream speed of boat on Wednesday? (speed of boat in still water is different on different days)
Answer options
Option: 0
Correct Answer
Explanation →

Q26:

Train A takes 45 minutes more than train B to travel 450 km. Due to engine trouble, the speed of train B falls by a quarter. So it takes 30 minutes more than Train A to complete the same journey. Find the speed of Train A.
Answer options
Option: 3
Correct Answer
Explanation →

Q27:

A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?
Answer options
Option: 3
Correct Answer
Explanation →

Time, Speed & Distance - Past Year Questions (Free PDF Download)

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