Speed/Distance

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vaibhav101: Master | Next Rank: 500 Posts; Posts: 138; Joined: Mon May 01, 2017 11:56 pm; Thanked: 4 times

Speed/Distance

by vaibhav101 » Wed Jun 06, 2018 8:34 am

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2 trains start from P and Q respectively and travel towards each other at a speed of 50 km/hr and 40 km/hr. By the time they meet, the first train has traveled 100 km more than the second. The distance between P and Q is

A 500 km
B 630 km
C 660 km
D 900 km
E 450 km

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Source: Beat The GMAT — Problem Solving | Wed Jun 06, 2018 8:34 am

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8088; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Fri Jun 08, 2018 10:24 am

vaibhav101 wrote:2 trains start from P and Q respectively and travel towards each other at a speed of 50 km/hr and 40 km/hr. By the time they meet, the first train has traveled 100 km more than the second. The distance between P and Q is

A 500 km
B 630 km
C 660 km
D 900 km
E 450 km

Let t = the time, in hours, it takes the two trains to meet. We can create the equation:

50t = 40t + 100

10t = 100

t = 10

Thus each train has traveled for 10 hours. So the total distance between P and Q is

50(10) + 40(10) = 500 + 400 = 900 km

Answer: D

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