A sound wave travels at a speed of 330 m/s. If the echo of a sound is heard from a wall after 2 seconds, find the distance of the wall from the source. MCQ with Answer and Explanation
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Question #1
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A person sets off from location M at 6:00 AM tracking at 30 km/h. Another starts from M at 8:00 AM at 50 km/h along the same direction pathway. At what distance from M do they meet?
Correct Answer: Option A
Explanation:
By 8:00 AM, the first person tracks for 2 hours, covering 30 * 2 = 60 km. Relative tracking speed = 50 - 30 = 20 km/h. Time taken to meet = 60 / 20 = 3 hours. Distance covered from point M = Speed of second traveler * Meeting Time = 50 * 3 = 150 km.
By 8:00 AM, the first person tracks for 2 hours, covering 30 * 2 = 60 km. Relative tracking speed = 50 - 30 = 20 km/h. Time taken to meet = 60 / 20 = 3 hours. Distance covered from point M = Speed of second traveler * Meeting Time = 50 * 3 = 150 km.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A baseline boat hull can row 12 km/h in still water. If the river current tracks a velocity of 4 km/h, find the exact sector distance covered downstream by the boat hull in 45 minutes flat.
Correct Answer: Option D
Explanation:
Downstream speed = 12 + 4 = 16 km/h. Time = 45 minutes = 45/60 = 0.75 hours = 3/4 hour. Distance covered = Speed * Time = 16 * (3/4) = 12 km.
Downstream speed = 12 + 4 = 16 km/h. Time = 45 minutes = 45/60 = 0.75 hours = 3/4 hour. Distance covered = Speed * Time = 16 * (3/4) = 12 km.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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The speeds of two cars are in the ratio 5 : 4. If they cover the same distance, and the slower car takes 2.5 hours, how much time does the faster car take?
Correct Answer: Option D
Explanation:
Ratio of speeds = 5:4, so ratio of times taken = 4:5. The slower car corresponds to 5 parts = 2.5 hours => 1 part = 0.5 hours. Time for the faster car = 4 parts = 4 * 0.5 = 2 hours.
Ratio of speeds = 5:4, so ratio of times taken = 4:5. The slower car corresponds to 5 parts = 2.5 hours => 1 part = 0.5 hours. Time for the faster car = 4 parts = 4 * 0.5 = 2 hours.
This question belongs to:
Maths
Time Speed and Distance
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