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. MCQ with Answer and Explanation
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Question #1
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The speed of a boat downstream is 18 km/h and upstream is 12 km/h. How much distance can the boat cover in still water in 3 hours?
Correct Answer: Option D
Explanation:
Speed of the boat in still water = (Downstream Speed + Upstream Speed) / 2 = (18 + 12) / 2 = 15 km/h. Distance covered in 3 hours = 15 * 3 = 45 km.
Speed of the boat in still water = (Downstream Speed + Upstream Speed) / 2 = (18 + 12) / 2 = 15 km/h. Distance covered in 3 hours = 15 * 3 = 45 km.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A runner covers a 400-meter track. The winner finishes in 40 seconds, while the runner-up takes 44 seconds. By what distance does the winner beat the runner-up?
Correct Answer: Option C
Explanation:
Speed of runner-up = 400 / 44 = 100 / 11 m/s. Distance covered by runner-up in 40 seconds = (100 / 11) * 40 = 4000 / 11 = 363.63 meters. Winning margin = 400 - 363.63 = 36.36 meters.
Speed of runner-up = 400 / 44 = 100 / 11 m/s. Distance covered by runner-up in 40 seconds = (100 / 11) * 40 = 4000 / 11 = 363.63 meters. Winning margin = 400 - 363.63 = 36.36 meters.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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In a 200m race, sprinter A beats sprinter B by 20 meters and sprinter C by 38 meters. In a race of 90 meters, by how many meters can B beat C?
Correct Answer: Option C
Explanation:
When A covers 200m, B covers 180m and C covers 162m. This means in a match distance where B covers 180 meters, C covers 162 meters. Scaling down to 90 meters: B covers 90m, C covers 162 * (90/180) = 81m. Therefore, B beats C by 90 - 81 = 9 meters.
When A covers 200m, B covers 180m and C covers 162m. This means in a match distance where B covers 180 meters, C covers 162 meters. Scaling down to 90 meters: B covers 90m, C covers 162 * (90/180) = 81m. Therefore, B beats C by 90 - 81 = 9 meters.
This question belongs to:
Maths
Time Speed and Distance
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