quantskillsgmat wrote:A and B starts moving towards each other from newyork and chicago along a straight line with constant speeds.After meeting in midway A reaches chicago in 9 hrs and B newyork in 16 hrs.fied ratio of their speeds.
4:3
3:4
5:4
4:5
1:2
We can plug in the answers, which represent the ratio of A's rate to B's rate.
After A and B meet, A takes less time to finish traveling than B, so A is moving at a faster rate.
Eliminate B, D and E.
Answer choice A: 4:3.
Let A's rate = 4 miles per hour and B's rate = 3 miles per hour.
When elements travel toward each other, we combine their rates, since the elements are working together to cover the distance between them.
Combined rate for A and B = 4+3 = 7 miles per hour.
Let d = 84 miles (the LCM of 4, 3 and 7).
Time for A and B to meet = d/(combined rate) = 84/7 = 12 hours.
In 12 hours, distance traveled by A = r*t = 4*12 = 48 miles.
Remaining distance for A = 84-48 = 36 miles.
Time for A to finish traveling = d/r = 36/4 = 9 hours.
In 12 hours, distance traveled by B = r*t = 3*12 = 36 miles.
Remaining distance for B = 84-36 = 48 miles.
Time for B to finish traveling = d/r = 48/3 = 16 hours.
Success!
The correct answer is
A.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
