A car covered a distance of 200 km at a uniform speed. If the speed is reduced by 10 km/h, the time taken increases by 1 hour. Find the original speed. MCQ with Answer and Explanation

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A car covered a distance of 200 km at a uniform speed. If the speed is reduced by 10 km/h, the time taken increases by 1 hour. Find the original speed.

A. 50 km/h

B. 55 km/h

C. 60 km/h

D. 45 km/h

Answer: Option A

Solution (By JKExamLibrary)

Let original speed be s. 200 / (s - 10) - 200 / s = 1 => 200(s - s + 10) = s(s - 10) => 2000 = s(s - 10). Solving s^2 - 10s - 2000 = 0 gives (s - 50)(s + 40) = 0. Since speed is positive, s = 50 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 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. 1.6 km

B. 1.4 km

C. 1.8 km

D. 2.0 km

View Answer & Solution Discuss

Correct Answer: Option A

Explanation:
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

Question #2 Report Error

A wheel has a radius of 42 cm. How many revolutions must it make to cover a distance of 132 meters?

A. 60 revolutions

B. 50 revolutions

C. 40 revolutions

D. 70 revolutions

View Answer & Solution Discuss

Correct Answer: Option B

Explanation:
Circumference of the wheel = 2 * (22/7) * 42 = 264 cm = 2.64 meters. Total distance = 132 meters. Number of revolutions = 132 / 2.64 = 50 revolutions.

This question belongs to: Maths Time Speed and Distance