A delivery coach covers a highway stretch at 40 km/h. If the driver spikes the speed index to 60 km/h, the coach lands at the station terminal 15 minutes early. Find the track sector distance. MCQ with Answer and Explanation

A delivery coach covers a highway stretch at 40 km/h. If the driver spikes the speed index to 60 km/h, the coach lands at the station terminal 15 minutes early. Find the track sector distance.
A. 30 km
B. 36 km
C. 26 km
D. 34 km
Answer: Option A
Solution (By JKExamLibrary)
Time difference = 15 minutes = 15/60 = 1/4 hours. Let distance be d. d / 40 - d / 60 = 1/4 => (3d - 2d) / 120 = 1/4 => d / 120 = 1/4 => d = 30 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
A boat moves upstream at a speed of 11 km/h and downstream at 16 km/h. Find the speed of the boat in still water.
A. 14 km/h
B. 14.5 km/h
C. 12.5 km/h
D. 13.5 km/h

Correct Answer: Option D


Explanation:
Speed in still water = (Downstream speed + Upstream speed) / 2 = (16 + 11) / 2 = 27 / 2 = 13.5 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A wheel makes 2000 revolutions to cover a distance of 1760 meters. Find the radius of the wheel.
A. 12 cm
B. 14 cm
C. 16 cm
D. 18 cm

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
Question #3 Report Error
A high-speed train clears a structural platform watchpost signal pillar in 6 seconds and passes across the full platform itself, which measures 200 meters long, in 16 seconds. Find the speed index of the train in km/h.
A. 64 km/h
B. 84 km/h
C. 80 km/h
D. 72 km/h

Correct Answer: Option D


Explanation:
Time taken to cross the platform span alone = 16 - 6 = 10 seconds. Speed of train = 200 / 10 = 20 m/s. In km/h index = 20 * (18/5) = 72 km/h.

This question belongs to: Maths Time Speed and Distance