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? MCQ with Answer and Explanation
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Question #1
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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 D
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.
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Maths
Time Speed and Distance
Question #2
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A private van covers 1/3 of a route corridor path at 10 km/h, 1/3 at 20 km/h and the final 1/3 segment sector at 60 km/h. Find the mean average speed.
Correct Answer: Option D
Explanation:
Let each third segment distance be 60 km. Total distance = 180 km. Total time taken = 60/10 + 60/20 + 60/60 = 6 + 3 + 1 = 10 hours. Average speed across route = 180 / 10 = 18 km/h.
Let each third segment distance be 60 km. Total distance = 180 km. Total time taken = 60/10 + 60/20 + 60/60 = 6 + 3 + 1 = 10 hours. Average speed across route = 180 / 10 = 18 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A delivery sedan logs a trip of 240 km at an average speed of 60 km/h. It travels the first 120 km at 40 km/h. Find the speed for the remaining 120 km.
Correct Answer: Option B
Explanation:
Total time for full trip = 240 / 60 = 4 hours. Time spent on first 120 km = 120 / 40 = 3 hours. Remaining time for the last 120 km = 4 - 3 = 1 hour. Required speed = 120 km / 1 hour = 120 km/h.
Total time for full trip = 240 / 60 = 4 hours. Time spent on first 120 km = 120 / 40 = 3 hours. Remaining time for the last 120 km = 4 - 3 = 1 hour. Required speed = 120 km / 1 hour = 120 km/h.
This question belongs to:
Maths
Time Speed and Distance
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