A train 110 meters long is running at a speed of 58 km/h. How much time will it take to pass a man running at 4 km/h in the opposite direction? MCQ with Answer and Explanation

A train 110 meters long is running at a speed of 58 km/h. How much time will it take to pass a man running at 4 km/h in the opposite direction?
A. 7 seconds
B. 6.38 seconds
C. 7.5 seconds
D. 6 seconds
Answer: Option B
Solution (By JKSSB Mock Tests)
Relative speed = 58 + 4 = 62 km/h = 62 * (5/18) = 155/9 m/s. Time = Distance / Speed = 110 / (155/9) = 110 * 9 / 155 = 990 / 155 = 6.38 seconds.

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Practice More Time Speed and Distance Questions

Question #1
Two cars leave a location simultaneously at a right angle to each other. Their speeds are 36 km/h and 48 km/h respectively. Find the direct distance between them after 15 minutes.
A. 18 km
B. 12 km
C. 20 km
D. 15 km

Correct Answer: Option D


Explanation:
Time = 15 minutes = 0.25 hours. Distance covered by first car = 36 * 0.25 = 9 km. Distance covered by second car = 48 * 0.25 = 12 km. Since they travel at right angles, distance between them = sqrt(9^2 + 12^2) = sqrt(81 + 144) = sqrt(225) = 15 km.

This question belongs to: Maths Time Speed and Distance
Question #2
A car covers a distance of 180 km at a uniform speed. If the speed is increased by 10 km/h, the journey takes 3 hours. Find the initial speed of the car.
A. 55 km/h
B. 60 km/h
C. 50 km/h
D. 45 km/h

Correct Answer: Option C


Explanation:
New speed = 180 / 3 = 60 km/h. Since the new speed is 10 km/h faster than the original speed, original speed = 60 - 10 = 50 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
A passenger express train 160 meters long runs at 72 km/h. How long will it take to clear a terminal platform 240 meters long?
A. 18 seconds
B. 22 seconds
C. 20 seconds
D. 24 seconds

Correct Answer: Option C


Explanation:
Speed of train = 72 * (5/18) = 20 m/s. Total distance = 160 + 240 = 400 meters. Time taken = 400 / 20 = 20 seconds.

This question belongs to: Maths Time Speed and Distance