A person walks from his home to his office at 5 km/h and reaches 10 minutes late. If he walks at 6 km/h, he reaches 2 minutes late. Find the distance. MCQ with Answer and Explanation

Question

A person walks from his home to his office at 5 km/h and reaches 10 minutes late. If he walks at 6 km/h, he reaches 2 minutes late. Find the distance.

A. 5.0 km

B. 4.5 km

C. 4.0 km

D. 3.5 km

Answer: Option C

Solution (By JKSSB Mock Tests)

Time difference = 10 - 2 = 8 minutes = 8/60 = 2/15 hour. Let distance be d. d / 5 - d / 6 = 2/15 => d / 30 = 2/15 => d = 4 km.

This question belongs to: Maths Time Speed and Distance

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Question #1

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A car travels the first half of a total distance at speed v1 and the second half at speed v2. What is the expression for the average speed of the car?

A. 2v1*v2 / (v1 + v2)

B. v1*v2 / (v1 + v2)

C. 2 / (v1 + v2)

D. (v1 + v2) / 2

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Correct Answer: Option A

Explanation:
When equal distances are traveled at speeds v1 and v2, the average speed is the harmonic mean: 2v1*v2 / (v1 + v2).

This question belongs to: Maths Time Speed and Distance

Question #2

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A cyclist covers a distance of 750 meters in 2 minutes 30 seconds. What is the speed of the cyclist in km/h?

A. 18 km/h

B. 15 km/h

C. 20 km/h

D. 24 km/h

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Correct Answer: Option A

Explanation:
Time = 2 minutes + 30 seconds = 150 seconds. Speed = 750 / 150 = 5 m/s. Converting to km/h: 5 * (18/5) = 18 km/h.

This question belongs to: Maths Time Speed and Distance

Question #3

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A wheel makes 2000 revolutions to cover a distance of 1760 meters. Find the radius of the wheel.

A. 16 cm

B. 14 cm

C. 12 cm

D. 18 cm

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Correct Answer: Option B

Explanation:
Distance covered in 1 revolution = 1760 / 2000 = 0.88 meters = 88 cm. Circumference = 2 * (22/7) * r = 88 cm => (44/7) * r = 88 => r = 14 cm.

This question belongs to: Maths Time Speed and Distance

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