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16 Sep 2023, 07:40
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C
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Difficulty:
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Question Stats:
84% (02:19) correct
16%
(02:49)
wrong
based on 85
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A train travels from City A to City B at a constant speed of 60 miles per hour and returns from City B to City A at a constant speed of 40 miles per hour. The total travel time for the round trip is 7 hours. What is the one-way distance between City A and City B in miles?
(A) 240 miles
(B) 210 miles
(C) 168 miles
(D) 125 miles
(E) 88 miles
(A) 240 miles
(B) 210 miles
(C) 168 miles
(D) 125 miles
(E) 88 miles
16 Sep 2023, 07:45
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coucoudanger
Time taken from A to B and B to A is \(\frac{x}{60}\) and \(\frac{x}{40}\) respectively.
Thus, total time taken = \(\frac{x}{60}\) + \(\frac{x}{40}\)=7
4x+6x=7*240
x=1680/10=168
C
16 Sep 2023, 09:26
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coucoudanger
When we travel equal distances at different speeds, the average speed becomes 2ab/(a +b)
So here the average speed for the entire trip is 2 * 60 * 40 / (60 + 40) = 48 mph
Total distance covered = 48 * 7
One way distance = 48*7/2 = 24 * 7 = 168 miles
Answer (C)
Check this video for a discussion on time speed distance concepts: https://youtu.be/7ASEIvxYPCM
and check out 2 tricky problems here: https://youtu.be/qnhF9yLHNzU
