A cyclist tracks a sector distance of 24 km at a certain speed. If he drops his pace by 2 km/h, he takes 1 hour more to cover the route. Find his baseline speed. MCQ with Answer and Explanation

A cyclist tracks a sector distance of 24 km at a certain speed. If he drops his pace by 2 km/h, he takes 1 hour more to cover the route. Find his baseline speed.
A. 10 km/h
B. 6 km/h
C. 8 km/h
D. 12 km/h
Answer: Option C
Solution (By JKExamLibrary)
Let original speed be s. 24 / (s - 2) - 24 / s = 1 => 24(2) = s(s - 2) => 48 = s(s - 2). Solving s^2 - 2s - 48 = 0 yields (s - 8)(s + 6) = 0. Since speed must be positive, s = 8 km/h.

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 crew row a boat 24 km upstream and 36 km downstream, taking 4 hours for each separate direction. Find the speed of the current stream.
A. 1.5 km/h
B. 1.75 km/h
C. 1.25 km/h
D. 2 km/h

Correct Answer: Option A


Explanation:
Upstream speed = 24 / 4 = 6 km/h. Downstream speed = 36 / 4 = 9 km/h. Current speed = (Downstream speed - Upstream speed) / 2 = (9 - 6) / 2 = 1.5 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A sound wave tracking along a canyon paths at 340 m/s. Find the total distance wrapped by the sound wave in exactly 25 seconds.
A. 9.0 km
B. 7.5 km
C. 8.5 km
D. 9.5 km

Correct Answer: Option C


Explanation:
Distance covered = Speed * Time = 340 * 25 = 8500 meters = 8.5 km.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
Two cars A and B travel from one city to another at speeds of 72 km/h and 90 km/h respectively. If car A takes 1 hour more than car B for the journey, what is the distance between the two cities?
A. 500 km
B. 450 km
C. 400 km
D. 360 km

Correct Answer: Option D


Explanation:
Let distance be d. d/72 - d/90 = 1 => (5d - 4d)/360 = 1 => d/360 = 1 => d = 360 km.

This question belongs to: Maths Time Speed and Distance