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. MCQ with Answer and Explanation
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Question #1
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The speed of a boat in still water is 16 km/h and the speed of the current is 4 km/h. How much distance can the boat cover upstream in 3 hours?
Correct Answer: Option D
Explanation:
Upstream speed = 16 - 4 = 12 km/h. Distance covered in 3 hours = 12 * 3 = 36 km.
Upstream speed = 16 - 4 = 12 km/h. Distance covered in 3 hours = 12 * 3 = 36 km.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A shoplifter sprints from a mall sector at 6:00 PM at 12 km/h. The security detail discovers the lapse and pursues at 6:30 PM at 16 km/h. At what time will the detail intercept the shoplifter?
Correct Answer: Option A
Explanation:
In 30 minutes (from 6:00 to 6:30 PM), the shoplifter covers 12 * 0.5 = 6 km. Relative speed of pursuit = 16 - 12 = 4 km/h. Time to catch = 6 / 4 = 1.5 hours. Interception time = 6:30 PM + 1.5 hours = 8:00 PM.
In 30 minutes (from 6:00 to 6:30 PM), the shoplifter covers 12 * 0.5 = 6 km. Relative speed of pursuit = 16 - 12 = 4 km/h. Time to catch = 6 / 4 = 1.5 hours. Interception time = 6:30 PM + 1.5 hours = 8:00 PM.
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Maths
Time Speed and Distance
Question #3
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Two express trains 220 meters and 180 meters long are tracking parallel in identical directions at speeds of 90 km/h and 72 km/h. Find the duration to pass each other.
Correct Answer: Option C
Explanation:
Total distance = 220 + 180 = 400 meters. Relative speed in identical direction = 90 - 72 = 18 km/h = 5 m/s. Time taken = 400 / 5 = 80 seconds.
Total distance = 220 + 180 = 400 meters. Relative speed in identical direction = 90 - 72 = 18 km/h = 5 m/s. Time taken = 400 / 5 = 80 seconds.
This question belongs to:
Maths
Time Speed and Distance
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