A passenger train 100 meters long clears a line worker tracking on the ballast track in 5 seconds flat when both move along the identical direction. If the line worker walks at 8 km/h, find the train speed. MCQ with Answer and Explanation

A passenger train 100 meters long clears a line worker tracking on the ballast track in 5 seconds flat when both move along the identical direction. If the line worker walks at 8 km/h, find the train speed.
A. 84 km/h
B. 80 km/h
C. 88 km/h
D. 76 km/h
Answer: Option B
Solution (By JKExamLibrary)
Relative tracking speed = 100 / 5 = 20 m/s = 20 * (18/5) = 72 km/h. In identical directions, Relative Speed = Speed of train - Speed of worker => 72 = Speed of train - 8 => Speed of train = 80 km/h.

This question belongs to: Maths Time Speed and Distance

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Time Speed and Distance Questions

Question #1 Report Error
A boat can row 13 km/h in still water and the speed of the current is 3 km/h. Find the time taken to row 48 km downstream.
A. 2.5 hours
B. 4.0 hours
C. 3.0 hours
D. 3.5 hours

Correct Answer: Option C


Explanation:
Downstream speed = 13 + 3 = 16 km/h. Time taken = 48 / 16 = 3 hours.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
The speed of a boat in still water is 14 km/h and the speed of the current is 4 km/h. How much time will the boat take to cover a distance of 72 km downstream?
A. 4 hours
B. 6 hours
C. 5 hours
D. 3 hours

Correct Answer: Option A


Explanation:
Downstream speed = Speed in still water + Speed of current = 14 + 4 = 18 km/h. Time taken = Distance / Downstream speed = 72 / 18 = 4 hours.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A man can row 5 km/h in still water. He takes 2.5 hours to row to a point and back when the current flows at 1 km/h. How far is the point?
A. 7.0 km
B. 6.0 km
C. 5.5 km
D. 6.5 km

Correct Answer: Option B


Explanation:
Downstream speed = 5 + 1 = 6 km/h. Upstream speed = 5 - 1 = 4 km/h. Let distance be d. d / 6 + d / 4 = 2.5 => 5d / 12 = 2.5 => 5d = 30 => d = 6 km.

This question belongs to: Maths Time Speed and Distance