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A train travels from City A to City B

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coucoudanger
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A train travels from City A to City B [#permalink] New post   16 Sep 2023, 07:40
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87% (02:28) correct 13% (02:26) wrong based on 52 sessions
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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
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C
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Re: A train travels from City A to City B [#permalink] New post   16 Sep 2023, 07:45
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coucoudanger wrote:
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



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


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Re: A train travels from City A to City B [#permalink] New post   16 Sep 2023, 09:26
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coucoudanger wrote:
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



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
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Re: A train travels from City A to City B [#permalink] New post   19 Sep 2023, 04:27
coucoudanger wrote:
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


Let distance between a and b is x;

thus we have x/60+x/40 = 7

or 4x+6x = 7*240
10x = 1680
or x= 168

hence C
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gmatclubot
Re: A train travels from City A to City B [#permalink]
19 Sep 2023, 04:27
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