Time, Speed and Distance – Level 2 (PYQs)

https://youtu.be/-Afj_AlKK3o?si=GP3KBsDXGck_tufe

1. Two places A and B are 45 km apart and connected by a straight road. Anil goes from A to B while Sunil goes from B to A. Starting at the same time, they cross each other in exactly 1 hour 30 minutes. If Anil reaches B exactly 1 hour 15 minutes after Sunil reaches A, the speed of Anil, in km/h, is  [CAT 2024, Slot 1]

(a) 16

(b) 12

(c) 18

(d) 14

2. A train travelled a certain distance at a uniform speed. Had the speed been 6 km/h more, it would have needed 4 hours less. Had the speed been 6 km/h less, it would have needed 6 hours more. The distance, in km, travelled by the train is  [CAT 2024, Slot 3]

(a) 640

(b) 780

(c) 800

(d) 720

3. Brishti went on an 8-hour trip in a car. Before the trip, the car had travelled a total of x km, where x is a whole number and is palindromic (unchanged when its digits are reversed). At the end of the trip, the car had travelled a total of 26862 km, this number again being palindromic. If Brishti never drove at more than 110 km/h, then the greatest possible average speed at which she drove during the trip, in km/h, was  [CAT 2023, Slot 1]

(a) 110

(b) 80

(c) 90

(d) 100

4. Arvind travels from town A to town B, and Surbhi from town B to town A, both starting at the same time along the same route. After meeting each other, Arvind takes 6 hours to reach town B while Surbhi takes 24 hours to reach town A. If Arvind travelled at a speed of 54 km/h, the distance, in km, between town A and town B is  [CAT 2023, Slot 1]

(TITA – enter the numeric answer; no options given)

5. Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 metres behind Ravi and driving in the same direction. Ashok is driving along the same road from the opposite direction at 50 km/h and is 225 metres away from Ravi. The speed, in km/h, at which Vijay should drive so that all three cross each other at the same time, is  [CAT 2023, Slot 2]

(a) 67.2

(b) 58.8

(c) 61.6

(d) 64.4

6. Moody takes 30 seconds to finish riding an escalator if he walks on it at his normal speed in the same direction. He takes 20 seconds if he walks at twice his normal speed in the same direction. If Moody stands still on the escalator, the time, in seconds, needed to finish riding it is  [CAT 2022, Slot 3]

(TITA – enter the numeric answer; no options given)

7. Two cars travel from different locations at constant speeds. To meet each other after starting at the same time, they take 1.5 hours if they travel towards each other, but 10.5 hours if they travel in the same direction. If the speed of the slower car is 60 km/h, the distance travelled, in km, by the slower car when it meets the other car while travelling towards each other, is  [CAT 2022, Slot 3]

(a) 90

(b) 120

(c) 100

(d) 150

8. Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6 km/h less than the faster one, its length, in m, is  [CAT 2021, Slot 1]

(a) 180

(b) 184

(c) 190

(d) 192

9. Mira and Amal walk along a circular track, starting from the same point at the same time. If they walk in the same direction, then in 45 minutes Amal completes exactly 3 more rounds than Mira. If they walk in opposite directions, they meet for the first time exactly after 3 minutes. The number of rounds Mira walks in one hour is  [CAT 2021, Slot 3]

(TITA – enter the numeric answer; no options given)

10. Two persons are walking beside a railway track at respective speeds of 2 and 4 km/h in the same direction. A train came from behind them and crossed them in 90 and 100 seconds, respectively. The time, in seconds, taken by the train to cross an electric post is nearest to  [CAT 2020, Slot 1]

(a) 75

(b) 82

(c) 87

(d) 78

11. A train travelled at one-third of its usual speed, and hence reached the destination 30 minutes after the scheduled time. On its return journey, the train initially travelled at its usual speed for 5 minutes but then stopped for 4 minutes for an emergency. The percentage by which the train must now increase its usual speed so as to reach the destination at the scheduled time is nearest to  [CAT 2020, Slot 1]

(a) 58

(b) 61

(c) 67

(d) 50

 Scroll to the bottom for answer key and visit @iimwalabanda YouTube page for video solution

Answer Key

Q.No	Correct Option
Q1	B (12)
Q2	D (720)
Q3	D (100)
Q4	TITA (972)
Q5	C (61.6)
Q6	TITA (60)
Q7	A (90)
Q8	C (190)
Q9	TITA (8)
Q10	B (82)
Q11	C (67)