A car covers a certain distance at 45 km/h. If it increases its speed to 60 km/h, it arrives 30 minutes earlier. Find the total distance. MCQ with Answer and Explanation

Question

A car covers a certain distance at 45 km/h. If it increases its speed to 60 km/h, it arrives 30 minutes earlier. Find the total distance.

A. 90 km

B. 120 km

C. 100 km

D. 80 km

Answer: Option A

Solution (By JKSSB Mock Tests)

Time difference = 30 minutes = 0.5 hours. Let distance be d. d / 45 - d / 60 = 0.5 => (4d - 3d) / 180 = 0.5 => d / 180 = 0.5 => d = 90 km.

This question belongs to: Maths Time Speed and Distance

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A runner covers a 400-meter track. The winner finishes in 40 seconds, while the runner-up takes 44 seconds. By what distance does the winner beat the runner-up?

A. 38.5 meters

B. 34.2 meters

C. 40.0 meters

D. 36.36 meters

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Correct Answer: Option D

Explanation:
Speed of runner-up = 400 / 44 = 100 / 11 m/s. Distance covered by runner-up in 40 seconds = (100 / 11) * 40 = 4000 / 11 = 363.63 meters. Winning margin = 400 - 363.63 = 36.36 meters.

This question belongs to: Maths Time Speed and Distance