A motorist covers a distance of 180 km at 45 km/h and returns at 60 km/h. Find the total time spent for the entire round trip. MCQ with Answer and Explanation
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Question #1
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A cross-country runner covers the sides of an equilateral triangular course at speeds of 8 km/h, 12 km/h and 24 km/h respectively. Find his average speed for the whole round.
Correct Answer: Option C
Explanation:
Let each side of the triangular course be 24 km. Total perimeter = 3 * 24 = 72 km. Total time taken = 24/8 + 24/12 + 24/24 = 3 + 2 + 1 = 6 hours. Average speed = 72 / 6 = 12 km/h.
Let each side of the triangular course be 24 km. Total perimeter = 3 * 24 = 72 km. Total time taken = 24/8 + 24/12 + 24/24 = 3 + 2 + 1 = 6 hours. Average speed = 72 / 6 = 12 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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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 B
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 #3
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A bus runs at 40 km/h for 2 hours and 50 km/h for the next 3 hours. Find the average speed of the bus for the total journey.
Correct Answer: Option D
Explanation:
Distance 1 = 40 * 2 = 80 km. Distance 2 = 50 * 3 = 150 km. Total distance = 230 km. Total time = 2 + 3 = 5 hours. Average speed = 230 / 5 = 46 km/h.
Distance 1 = 40 * 2 = 80 km. Distance 2 = 50 * 3 = 150 km. Total distance = 230 km. Total time = 2 + 3 = 5 hours. Average speed = 230 / 5 = 46 km/h.
This question belongs to:
Maths
Time Speed and Distance
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