A student walking at 3 km/h reaches his school 15 minutes late. If he walks at 4 km/h, he reaches 15 minutes early. Find the distance. MCQ with Answer and Explanation
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Question #1
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The ratio between the speeds of two trains is 7:8. If the second train runs 400 km in 4 hours, then the speed of the first train is:
Correct Answer: Option D
Explanation:
Speed of second train = 400 / 4 = 100 km/h. Ratio is 7:8, so 8 parts = 100 km/h. 1 part = 12.5 km/h. First train speed = 7 parts = 7 * 12.5 = 87.5 km/h.
Speed of second train = 400 / 4 = 100 km/h. Ratio is 7:8, so 8 parts = 100 km/h. 1 part = 12.5 km/h. First train speed = 7 parts = 7 * 12.5 = 87.5 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A passenger train 180 meters long is running at 60 km/h. How much time will it take to pass a platform of length 220 meters?
Correct Answer: Option A
Explanation:
Total distance = 180 + 220 = 400 meters. Speed = 60 * (5/18) = 50/3 m/s. Time = 400 / (50/3) = 400 * 3 / 50 = 24 seconds.
Total distance = 180 + 220 = 400 meters. Speed = 60 * (5/18) = 50/3 m/s. Time = 400 / (50/3) = 400 * 3 / 50 = 24 seconds.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A traveler accounts 30% of his route stretch at 15 km/h and the left over 70% at 35 km/h. Find his baseline average speed across the course.
Correct Answer: Option A
Explanation:
Let total distance be 100 km. First segment = 30 km; Time = 30 / 15 = 2 hours. Second segment = 70 km; Time = 70 / 35 = 2 hours. Total distance = 100 km, Total time = 4 hours. Average speed = 100 / 4 = 25 km/h.
Let total distance be 100 km. First segment = 30 km; Time = 30 / 15 = 2 hours. Second segment = 70 km; Time = 70 / 35 = 2 hours. Total distance = 100 km, Total time = 4 hours. Average speed = 100 / 4 = 25 km/h.
This question belongs to:
Maths
Time Speed and Distance
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