A car covers a sector line of 420 km at a uniform speed. If its velocity index is raised by 10 km/h, it covers the course loop line in exactly 6 hours. Find the original speed. MCQ with Answer and Explanation

A car covers a sector line of 420 km at a uniform speed. If its velocity index is raised by 10 km/h, it covers the course loop line in exactly 6 hours. Find the original speed.
A. 65 km/h
B. 55 km/h
C. 70 km/h
D. 60 km/h
Answer: Option D
Solution (By JKSSB Mock Tests)
New speed = 420 / 6 = 70 km/h. Since new speed is original speed + 10 km/h, the original tracking speed = 70 - 10 = 60 km/h.

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Practice More Time Speed and Distance Questions

Question #1
A person wins a 100-meter race in 12 seconds, while the runner-up finishes in 13 seconds. By what distance did the winner beat the runner-up?
A. 8.12 meters
B. 7.69 meters
C. 8.50 meters
D. 7.24 meters

Correct Answer: Option B


Explanation:
Speed of runner-up = 100 / 13 m/s. Distance covered by runner-up in 12 seconds = (100 / 13) * 12 = 1200 / 13 = 92.31 meters. Beat distance = 100 - 92.31 = 7.69 meters.

This question belongs to: Maths Time Speed and Distance
Question #2
A car runs at 60 km/h for 2 hours and then at 40 km/h for another 3 hours. Find the average speed of the car for the entire journey.
A. 48 km/h
B. 46 km/h
C. 50 km/h
D. 52 km/h

Correct Answer: Option A


Explanation:
Distance 1 = 60 * 2 = 120 km. Distance 2 = 40 * 3 = 120 km. Total distance = 240 km. Total time = 2 + 3 = 5 hours. Average speed = 240 / 5 = 48 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
A cargo train running at 64 km/h overtakes a cyclist riding at 10 km/h in the same direction in 10 seconds. Find the length of the train.
A. 160 meters
B. 140 meters
C. 180 meters
D. 150 meters

Correct Answer: Option D


Explanation:
Relative speed = 64 - 10 = 54 km/h = 54 * (5/18) = 15 m/s. Length of train = Relative speed * Time = 15 * 10 = 150 meters.

This question belongs to: Maths Time Speed and Distance