Two delivery vans start from a junction hub and track along perpendicular cross lanes. One runs at 24 km/h and the other at 32 km/h. Find the separation distance between them after 1 hour. MCQ with Answer and Explanation
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Question #1
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A man can row 6 km/h in still water. If the speed of the current is 2 km/h, it takes him 3 hours to row to a place and back. How far is the place?
Correct Answer: Option B
Explanation:
Downstream speed = 6 + 2 = 8 km/h. Upstream speed = 6 - 2 = 4 km/h. Let distance be d. d/8 + d/4 = 3 => (d + 2d)/8 = 3 => 3d/8 = 3 => d = 8 km.
Downstream speed = 6 + 2 = 8 km/h. Upstream speed = 6 - 2 = 4 km/h. Let distance be d. d/8 + d/4 = 3 => (d + 2d)/8 = 3 => 3d/8 = 3 => d = 8 km.
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Maths
Time Speed and Distance
Question #2
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A car covers a total distance of 240 km. It travels the first half of the distance at 40 km/h and the second half at 60 km/h. Find the average speed for the full journey.
Correct Answer: Option A
Explanation:
Average Speed = 2xy / (x + y) = (2 * 40 * 60) / (40 + 60) = 4800 / 100 = 48 km/h.
Average Speed = 2xy / (x + y) = (2 * 40 * 60) / (40 + 60) = 4800 / 100 = 48 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A jogger covers a distance of 18 km in 2 hours. If he runs at 1.5 times his original speed, how much time will he take to cover a distance of 27 km?
Correct Answer: Option D
Explanation:
Original speed = 18 / 2 = 9 km/h. New speed = 1.5 * 9 = 13.5 km/h. Time needed for 27 km = 27 / 13.5 = 2 hours.
Original speed = 18 / 2 = 9 km/h. New speed = 1.5 * 9 = 13.5 km/h. Time needed for 27 km = 27 / 13.5 = 2 hours.
This question belongs to:
Maths
Time Speed and Distance
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