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. 1.6 km
C. 1.4 km
D. 2.0 km
Answer: Option B
Solution (By JKExamLibrary)
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.

This question belongs to: Maths Time Speed and Distance

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Practice More Time Speed and Distance Questions

Question #1 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 distance can the boat cover upstream in 2 hours?
A. 18 km
B. 24 km
C. 20 km
D. 22 km

Correct Answer: Option C


Explanation:
Upstream speed = 14 - 4 = 10 km/h. Distance covered in 2 hours = 10 * 2 = 20 km.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A car covers a distance of 180 km at 45 km/h and another 180 km at 60 km/h. Find the total time spent during the journey.
A. 7.5 hours
B. 6.5 hours
C. 8.0 hours
D. 7.0 hours

Correct Answer: Option D


Explanation:
Time for first part = 180 / 45 = 4 hours. Time for second part = 180 / 60 = 3 hours. Total time taken = 4 + 3 = 7 hours.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A car travels a distance of 240 km at a uniform speed. If the speed is reduced by 10 km/h, it takes 2 hours longer. Find the original speed.
A. 40 km/h
B. 30 km/h
C. 50 km/h
D. 60 km/h

Correct Answer: Option A


Explanation:
Let original speed be s. 240 / (s - 10) - 240 / s = 2 => 120 / (s - 10) - 120 / s = 1 => 1200 = s(s - 10). Solving s^2 - 10s - 1200 = 0 gives (s - 40)(s + 30) = 0. Since speed is positive, s = 40 km/h.

This question belongs to: Maths Time Speed and Distance