A regular passenger bus tracks a route divided into three equal segments. It runs the segments at 20 km/h, 30 km/h, and 60 km/h respectively. Find the average speed across the whole route. MCQ with Answer and Explanation
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Question #1
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A man rows a boat 20 km downstream in 2 hours and returns upstream in 5 hours. Find the speed of the stream.
Correct Answer: Option A
Explanation:
Downstream speed = 20 / 2 = 10 km/h. Upstream speed = 20 / 5 = 4 km/h. Speed of stream = (10 - 4) / 2 = 6 / 2 = 3 km/h.
Downstream speed = 20 / 2 = 10 km/h. Upstream speed = 20 / 5 = 4 km/h. Speed of stream = (10 - 4) / 2 = 6 / 2 = 3 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A hound pursues a fox that is initially 150 meters ahead. The fox flies at 30 km/h and the hound targets at 36 km/h. Find the total distance the fox runs before capture.
Correct Answer: Option B
Explanation:
Relative speed = 36 - 30 = 6 km/h = 5/3 m/s. Time required for capture = 150 / (5/3) = 90 seconds. Distance run by fox = Speed * Time = [30 * (5/18)] * 90 = (25/3) * 90 = 750 meters.
Relative speed = 36 - 30 = 6 km/h = 5/3 m/s. Time required for capture = 150 / (5/3) = 90 seconds. Distance run by fox = Speed * Time = [30 * (5/18)] * 90 = (25/3) * 90 = 750 meters.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A train 160 meters long crosses a pole in 8 seconds. What is its speed in km/h?
Correct Answer: Option C
Explanation:
Speed of train = 160 / 8 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
Speed of train = 160 / 8 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
This question belongs to:
Maths
Time Speed and Distance
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