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A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at
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24 Feb 2023, 06:40
24 Feb 2023, 06:40
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Question Stats:
57% (03:03) correct
42% (02:59) wrong based on 7 sessions
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A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at 12 noon. Ten minutes later, a train leaves Tokyo for Kyoto traveling 160 miles per hour. If Tokyo and Kyoto are 300 miles apart, at what time will the trains pass each other?
(A) 12:40pm
(B) 12:49pm
(C) 12:55pm
(D) 1:00pm
(E) 1:05pm
(A) 12:40pm
(B) 12:49pm
(C) 12:55pm
(D) 1:00pm
(E) 1:05pm
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
Re: A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at
[#permalink]
27 Feb 2023, 02:01
27 Feb 2023, 02:01
1
Expert Reply
To solve this problem, we can use the formula distance = rate × time.
Let t be the number of hours it takes for the trains to meet after the second train leaves Tokyo.
The distance traveled by the first train in t hours is:
d1 = 240t
The distance traveled by the second train in t – 10/60 hours (or t – 1/6 hours) is:
d2 = 160(t – 1/6)
Since the two distances add up to the total distance between Tokyo and Kyoto, we have:
240t + 160(t – 1/6) = 300
Simplifying this equation, we get:
400t – 80 = 180
400t = 260
t = 13/20 hours = 39 minutes
Therefore, the two trains will meet 39 minutes after the second train leaves Tokyo, or at 12:49pm.
The answer is (B).
Let t be the number of hours it takes for the trains to meet after the second train leaves Tokyo.
The distance traveled by the first train in t hours is:
d1 = 240t
The distance traveled by the second train in t – 10/60 hours (or t – 1/6 hours) is:
d2 = 160(t – 1/6)
Since the two distances add up to the total distance between Tokyo and Kyoto, we have:
240t + 160(t – 1/6) = 300
Simplifying this equation, we get:
400t – 80 = 180
400t = 260
t = 13/20 hours = 39 minutes
Therefore, the two trains will meet 39 minutes after the second train leaves Tokyo, or at 12:49pm.
The answer is (B).
gmatclubot
Re: A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at [#permalink]
27 Feb 2023, 02:01
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