In a 200-meter race, A finishes in 22 seconds and B finishes in 25 seconds. By what distance does A beat B? MCQ with Answer and Explanation
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Question #1
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A boat covers 36 km downstream in 3 hours and maps the identical stretch upstream in 6 hours. Find the speed of the river stream current.
Correct Answer: Option D
Explanation:
Downstream speed = 36 / 3 = 12 km/h. Upstream speed = 36 / 6 = 6 km/h. Speed of stream current = (12 - 6) / 2 = 3 km/h.
Downstream speed = 36 / 3 = 12 km/h. Upstream speed = 36 / 6 = 6 km/h. Speed of stream current = (12 - 6) / 2 = 3 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A person rows 18 km downstream in 2 hours and covers the same distance upstream in 6 hours. What is the speed of the boat in still water?
Correct Answer: Option D
Explanation:
Downstream speed = 18 / 2 = 9 km/h. Upstream speed = 18 / 6 = 3 km/h. Speed in still water = (9 + 3) / 2 = 6 km/h.
Downstream speed = 18 / 2 = 9 km/h. Upstream speed = 18 / 6 = 3 km/h. Speed in still water = (9 + 3) / 2 = 6 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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The speed of a train is 25% more than the speed of a car. Both start from city P at the same time and reach city Q, 150 km away, at the same time. On the way, the train stops for 15 minutes at various stations. What is the speed of the car?
Correct Answer: Option B
Explanation:
Let car speed be c, then train speed is 1.25c. Time difference = 150/c - 150/(1.25c) = 15/60 hour = 1/4 hour. 150/c * (1 - 1/1.25) = 1/4 => 150/c * (0.25/1.25) = 1/4 => 150/c * (1/5) = 1/4 => 30/c = 1/4 => c = 120 km/h.
Let car speed be c, then train speed is 1.25c. Time difference = 150/c - 150/(1.25c) = 15/60 hour = 1/4 hour. 150/c * (1 - 1/1.25) = 1/4 => 150/c * (0.25/1.25) = 1/4 => 150/c * (1/5) = 1/4 => 30/c = 1/4 => c = 120 km/h.
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Maths
Time Speed and Distance
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