A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at 12 noon. Ten minutes later, a train leaves Tokyo

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VJesus12: Legendary Member; Posts: 2276; Joined: Sat Oct 14, 2017 6:10 amFollowed by: 3 members

by VJesus12 » Fri Feb 19, 2021 6:50 am

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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

Answer: B

Source: Manhattan GMAT

Source: Beat The GMAT — Problem Solving | Fri Feb 19, 2021 6:50 am

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Re: A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at 12 noon. Ten minutes later, a train leaves Tok

by Scott@TargetTestPrep » Tue Mar 09, 2021 1:30 pm

VJesus12 wrote: ↑
Fri Feb 19, 2021 6:50 am
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

Answer: B

Solution:

We can let t = the number of hours the second train has traveled when the two trains pass each other and create the equation:

240(t + 1/6) + 160t = 300

240t + 40 + 160t = 300

400t = 260

t = 260/400 = 26/40 = 13/20

Since 13/20 hour = 13/20 x 60 = 39 minutes, the trains passed each other at 12:10 pm + 39 minutes = 12:49 pm.

Answer: B

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