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? MCQ with Answer and Explanation
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Question #1
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A man rides a bicycle at 12 km/h from his house to his school and reaches 5 minutes late. Next day he increases his speed to 15 km/h and reaches 5 minutes early. Find the distance between his house and school.
Correct Answer: Option C
Explanation:
Time difference = 5 - (-5) = 10 minutes = 1/6 hour. Let distance be d. d/12 - d/15 = 1/6 => (5d - 4d)/60 = 1/6 => d/60 = 1/6 => d = 10 km.
Time difference = 5 - (-5) = 10 minutes = 1/6 hour. Let distance be d. d/12 - d/15 = 1/6 => (5d - 4d)/60 = 1/6 => d/60 = 1/6 => d = 10 km.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A train cross a pole in 12 seconds. If the speed of the train is 72 km/h, what is the length of the train?
Correct Answer: Option C
Explanation:
Speed = 72 * (5/18) = 20 m/s. Length = Speed * Time = 20 * 12 = 240 meters.
Speed = 72 * (5/18) = 20 m/s. Length = Speed * Time = 20 * 12 = 240 meters.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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The speed of a boat downstream is 18 km/h and upstream is 12 km/h. How much distance can the boat cover in still water in 3 hours?
Correct Answer: Option A
Explanation:
Speed of the boat in still water = (Downstream Speed + Upstream Speed) / 2 = (18 + 12) / 2 = 15 km/h. Distance covered in 3 hours = 15 * 3 = 45 km.
Speed of the boat in still water = (Downstream Speed + Upstream Speed) / 2 = (18 + 12) / 2 = 15 km/h. Distance covered in 3 hours = 15 * 3 = 45 km.
This question belongs to:
Maths
Time Speed and Distance
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