Time, Speed and Distance (Part-4)

Total Questions: 50

1. Reshma covers 45 km at a speed of 15 km/h by bicycle, 80 km at a speed of 40 km/h by car, and another 6 km at a speed of 2 km/h on foot. Find her average speed for the whole journey (correct to 2 decimal places). [Matriculation Level 26/06/2024 (Shift - 1)]

Correct Answer: (c) 16.38 km/h
Solution:

2. A policeman chases a thief on a straight road. The policeman catches the thief in 15 minutes if he drives with a speed of 60 km/h and catches the thief in 0.5 hours if he drives with a speed 45 km/h. What should be his driving speed (in km/h) to catch the thief in just 10 minutes? [Matriculation Level 26/06/2024 (Shift - 1)]

Correct Answer: (b) 75
Solution:

3. A bus covers 1200 km in 30 hours. What is its average speed in m/s? [Higher Secondary 20/06/2024 (Shift - 2)]

Correct Answer: (c) 11⅑
Solution:

4. A bus covers the first 70 km of its journey in 40 minutes and the remaining 60 km in 30 minutes. The average speed of the bus, in km/h, is: [Higher Secondary 20/06/2024 (Shift - 2)]

Correct Answer: (c) 111³⁄₇
Solution:

5. Veena and Karmesh were at different places in Delhi. They fixed a meeting point to meet to settle some issue. Veena started her journey at 8:00 a.m. from place A and reached place B at 4:00 p.m. and Karmesh started moving from place B 2 hours later than the time Veena started and could reach place A at 5:00 p.m. the same day, via the same route. At what time will Karmesh and Veena meet each other? [Higher Secondary 21/06/2024 (Shift - 2)]

Correct Answer: (b) 12:48 p.m.
Solution:

6. Rashi travelled a distance of 400 km at an average speed of 50 km/h. She covers the first half distance in the first lag in 2 hours, while she covers another lag at half the speed of that of the first lag in 1 hour. What is the speed (in km/h) of the remaining distance? [Higher Secondary 21/06/2024 (Shift - 2)]

Correct Answer: (d) 30
Solution:

7. P drives a car for 5 hours and after every hour he doubles the speed. In the fifth hour, his speed is 128 km/h. What is his average speed of the journey in km/h? [Higher Secondary 21/06/2024 (Shift - 2)]

Correct Answer: (c) 49.6
Solution:

8. A train leaves Hyderabad at 4:00 A.M. and reaches Vijayawada at 8:00 A.M. the same day. Another train leaves Vijayawada at 6:00 A.M. and reaches Hyderabad at 9:30 A.M the same day. At what time do the two trains cross each other? [Higher Secondary 25/06/2024 (Shift - 4)]

Correct Answer: (d) 6:56 A.M.
Solution:

9. A truck travels 75 km in the first hour and 33 km in the second hour. Find the average speed of the truck (in km/h). [Graduate Level 20/06/2024 (Shift - 3)]

Correct Answer: (c) 54
Solution:

10. A person travels two-fifth of a distance at a speed of 40 km/h and the remaining at a speed of 60 km/h. What is his average speed (in km/h) in the entire journey? [Graduate Level 26/06/2024 (Shift - 4)]

Correct Answer: (d) 50
Solution: