A commuter sets a pace of 4 km/h and reaches his branch office 10 minutes late. If he increases his pace to 6 km/h, he still reaches 2 minutes late. Find the distance. MCQ with Answer and Explanation

A commuter sets a pace of 4 km/h and reaches his branch office 10 minutes late. If he increases his pace to 6 km/h, he still reaches 2 minutes late. Find the distance.
A. 1.8 km
B. 2.0 km
C. 1.4 km
D. 1.6 km
Answer: Option D
Solution (By JKSSB Mock Tests)
Time difference = 10 - 2 = 8 minutes = 8/60 = 2/15 hours. Let distance be d. d/4 - d/6 = 2/15 => d/12 = 2/15 => d = 24/15 = 1.6 km.

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Practice More Time Speed and Distance Questions

Question #1
A driver accounts 1/4 of his total delivery distance at 25 km/h and the remaining 3/4 at 75 km/h. Find his average speed for the full delivery route.
A. 45 km/h
B. 55 km/h
C. 50 km/h
D. 60 km/h

Correct Answer: Option C


Explanation:
Let total distance be 100 km. First part = 25 km; Time = 24 / 25 = 1 hour. Remaining part = 75 km; Time = 75 / 75 = 1 hour. Total distance = 100 km, Total time = 2 hours. Average speed = 100 / 2 = 50 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2
A truck covers three successive 8 km stretches at uniform speed metrics of 12 km/h, 24 km/h and 24 km/h. Find its net average speed.
A. 22 km/h
B. 16 km/h
C. 20 km/h
D. 18 km/h

Correct Answer: Option D


Explanation:
Total distance covered = 3 * 8 = 24 km. Total time taken = 8/12 + 8/24 + 8/24 = 2/3 + 1/3 + 1/3 = 4/3 hours. Average speed = 24 / (4/3) = 24 * 3 / 4 = 6 * 3 = 18 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
A boat covers 20 km downstream in 2 hours and the same distance upstream in 5 hours. Find the speed of the stream.
A. 4.0 km/h
B. 2.5 km/h
C. 3.0 km/h
D. 3.5 km/h

Correct Answer: Option C


Explanation:
Downstream speed = 20 / 2 = 10 km/h. Upstream speed = 20 / 5 = 4 km/h. Speed of stream = (10 - 4) / 2 = 6 / 2 = 3 km/h.

This question belongs to: Maths Time Speed and Distance