Two points M and N are separated by 300 km. At 8:00 AM, a car leaves M for N at 60 km/h. At 9:00 AM, another car leaves N for M at 90 km/h. At what time will they pass each other? MCQ with Answer and Explanation
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Question #1
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A theft is reported at 4:00 AM. The thief runs at 50 km/h. The police begin chasing at 4:30 AM at 60 km/h. Find the distance from the starting point where the thief is caught.
Correct Answer: Option C
Explanation:
In 30 minutes (0.5 hours), the thief covers 50 * 0.5 = 25 km. Relative speed = 60 - 50 = 10 km/h. Time taken to catch = 25 / 10 = 2.5 hours. Distance covered by police = 60 km/h * 2.5 hours = 150 km.
In 30 minutes (0.5 hours), the thief covers 50 * 0.5 = 25 km. Relative speed = 60 - 50 = 10 km/h. Time taken to catch = 25 / 10 = 2.5 hours. Distance covered by police = 60 km/h * 2.5 hours = 150 km.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A wheel has a radius of 42 cm. How many revolutions must it make to cover a distance of 132 meters?
Correct Answer: Option C
Explanation:
Circumference of the wheel = 2 * (22/7) * 42 = 264 cm = 2.64 meters. Total distance = 132 meters. Number of revolutions = 132 / 2.64 = 50 revolutions.
Circumference of the wheel = 2 * (22/7) * 42 = 264 cm = 2.64 meters. Total distance = 132 meters. Number of revolutions = 132 / 2.64 = 50 revolutions.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A boatman rows 1 km in 5 minutes along the stream and 1 km in 12 minutes against the stream. Find the speed of the stream.
Correct Answer: Option C
Explanation:
Downstream speed = 1 km / (5/60 hours) = 12 km/h. Upstream speed = 1 km / (12/60 hours) = 5 km/h. Speed of stream = (Downstream speed - Upstream speed) / 2 = (12 - 5) / 2 = 3.5 km/h.
Downstream speed = 1 km / (5/60 hours) = 12 km/h. Upstream speed = 1 km / (12/60 hours) = 5 km/h. Speed of stream = (Downstream speed - Upstream speed) / 2 = (12 - 5) / 2 = 3.5 km/h.
This question belongs to:
Maths
Time Speed and Distance
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