A commuter departs from outpost A at 5:00 AM at 25 km/h. Another starts from A at 7:00 AM at 35 km/h tracking along the same direction corridor. At what distance away from A will they intercept? MCQ with Answer and Explanation
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Question #1
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Two points P and Q are 210 km apart. Train A leaves P for Q at 50 km/h at 10:00 AM. Train B leaves Q for P at 70 km/h at 11:00 AM. At what time will they pass each other?
Correct Answer: Option A
Explanation:
By 11:00 AM, Train A covers 50 km * 1 hour = 50 km. Remaining distance = 210 - 50 = 160 km. Relative speed = 50 + 70 = 120 km/h. Time to meet after 11:00 AM = 160 / 120 = 4/3 hours = 1 hour 20 minutes. Meeting time = 11:00 AM + 1 hour 20 minutes = 12:20 PM.
By 11:00 AM, Train A covers 50 km * 1 hour = 50 km. Remaining distance = 210 - 50 = 160 km. Relative speed = 50 + 70 = 120 km/h. Time to meet after 11:00 AM = 160 / 120 = 4/3 hours = 1 hour 20 minutes. Meeting time = 11:00 AM + 1 hour 20 minutes = 12:20 PM.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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The speed of a train is 54 km/h. How many meters does it cross in 20 seconds?
Correct Answer: Option A
Explanation:
Speed = 54 * (5/18) = 15 m/s. Distance in 20 seconds = Speed * Time = 15 * 20 = 300 meters.
Speed = 54 * (5/18) = 15 m/s. Distance in 20 seconds = Speed * Time = 15 * 20 = 300 meters.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A boat covers 30 km downstream in 3 hours and the same distance upstream in 6 hours. Find the speed of the stream.
Correct Answer: Option A
Explanation:
Downstream speed = 30 / 3 = 10 km/h. Upstream speed = 30 / 6 = 5 km/h. Speed of stream = (10 - 5) / 2 = 5 / 2 = 2.5 km/h.
Downstream speed = 30 / 3 = 10 km/h. Upstream speed = 30 / 6 = 5 km/h. Speed of stream = (10 - 5) / 2 = 5 / 2 = 2.5 km/h.
This question belongs to:
Maths
Time Speed and Distance
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