A boat rowed downstream covers 40 km in 4 hours and manages 20 km upstream in 4 hours. Find the baseline speed of the boat in still water. MCQ with Answer and Explanation
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Question #1
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A scooter travels from town P to town Q at 30 km/h and returns at 45 km/h. Find the net average speed for the round journey.
Correct Answer: Option D
Explanation:
Average Speed = 2xy / (x + y) = (2 * 30 * 45) / (30 + 45) = 2700 / 75 = 36 km/h.
Average Speed = 2xy / (x + y) = (2 * 30 * 45) / (30 + 45) = 2700 / 75 = 36 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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The speed of two express locomotives are in the ratio 5 : 6. If the second locomotive maps 480 km in 4 hours, find the speed of the first locomotive.
Correct Answer: Option C
Explanation:
Speed of the second locomotive = 480 / 4 = 120 km/h. Ratio is 5:6, so 6 parts = 120 km/h => 1 part = 20 km/h. Speed of the first locomotive = 5 parts = 5 * 20 = 100 km/h.
Speed of the second locomotive = 480 / 4 = 120 km/h. Ratio is 5:6, so 6 parts = 120 km/h => 1 part = 20 km/h. Speed of the first locomotive = 5 parts = 5 * 20 = 100 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A student covers the distance from his house to school at 5 km/h and arrives 8 minutes late. The next day, he walks at 6 km/h and arrives 2 minutes early. Find the distance between his house and the school.
Correct Answer: Option A
Explanation:
Time difference = 8 - (-2) = 10 minutes = 1/6 hour. Let distance be d. d/5 - d/6 = 1/6 => d/30 = 1/6 => d = 5 km.
Time difference = 8 - (-2) = 10 minutes = 1/6 hour. Let distance be d. d/5 - d/6 = 1/6 => d/30 = 1/6 => d = 5 km.
This question belongs to:
Maths
Time Speed and Distance
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