A person walks from his home to his office at 5 km/h and reaches 10 minutes late. If he walks at 6 km/h, he reaches 2 minutes late. Find the distance. MCQ with Answer and Explanation

A person walks from his home to his office at 5 km/h and reaches 10 minutes late. If he walks at 6 km/h, he reaches 2 minutes late. Find the distance.
A. 3.5 km
B. 4.0 km
C. 4.5 km
D. 5.0 km
Answer: Option B
Solution (By JKExamLibrary)
Time difference = 10 - 2 = 8 minutes = 8/60 = 2/15 hour. Let distance be d. d / 5 - d / 6 = 2/15 => d / 30 = 2/15 => d = 4 km.

This question belongs to: Maths Time Speed and Distance

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Practice More Time Speed and Distance Questions

Question #1 Report Error
A train running at 72 km/h passes an active signal pole in 10 seconds. Find the length of the train.
A. 200 meters
B. 240 meters
C. 180 meters
D. 220 meters

Correct Answer: Option A


Explanation:
Speed = 72 * (5/18) = 20 m/s. Length of train = Speed * Time = 20 * 10 = 200 meters.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
The speeds of two running trains are in the ratio 7 : 9. Moving along parallel tracks in opposite directions, they take 4 seconds each to cross a telegraph post. Find the time taken by them to cross each other completely.
A. 4.5 seconds
B. 5 seconds
C. 4 seconds
D. 3.5 seconds

Correct Answer: Option C


Explanation:
Let the speeds be 7x and 9x. Length of first train = 7x * 4 = 28x. Length of second train = 9x * 4 = 36x. Total distance to cross each other = 28x + 36x = 64x. Relative speed in opposite directions = 7x + 9x = 16x. Time taken = 64x / 16x = 4 seconds.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A motorboat covers 16 km downstream in 1 hour and covers the same distance upstream in 2 hours. Find the speed of the boat in still water.
A. 10 km/h
B. 12 km/h
C. 15 km/h
D. 14 km/h

Correct Answer: Option B


Explanation:
Downstream speed = 16 / 1 = 16 km/h. Upstream speed = 16 / 2 = 8 km/h. Speed in still water = (16 + 8) / 2 = 12 km/h.

This question belongs to: Maths Time Speed and Distance