Trains A and B start simultaneously from stations 300 miles apart, and travel the same route toward each other on adjacent parallel tracks. If Train A and Train B travel at a constant rate of 50 miles per hour and 40 miles per hour, respectively, how many miles will Train A have traveled when the trains pass each other, to the nearest mile?
(A) 112
(B) 133
(C) 150
(D) 167
(E) 188
How will i find the best solution in this?
OA D
Trains A and B start simultaneously from stations 300 miles
This topic has expert replies
-
- Moderator
- Posts: 7187
- Joined: Thu Sep 07, 2017 4:43 pm
- Followed by:23 members
GMAT/MBA Expert
- Jay@ManhattanReview
- GMAT Instructor
- Posts: 3008
- Joined: Mon Aug 22, 2016 6:19 am
- Location: Grand Central / New York
- Thanked: 470 times
- Followed by:34 members
Since the train A and B together have to complete 300 miles, and the speed to train A is greater than that of train B, train A would cover more distance than that by train B.lheiannie07 wrote:Trains A and B start simultaneously from stations 300 miles apart, and travel the same route toward each other on adjacent parallel tracks. If Train A and Train B travel at a constant rate of 50 miles per hour and 40 miles per hour, respectively, how many miles will Train A have traveled when the trains pass each other, to the nearest mile?
(A) 112
(B) 133
(C) 150
(D) 167
(E) 188
How will i find the best solution in this?
OA D
The distance 300 miles would be proportionaltely divided in the ratio of their speeds.
Ratio of speeds: 50 : 40 => 5 : 4. Thus, the distance covered by train A = 300*[5/(5 + 4)] = 300*(5/9) = 500/3 = 167 miles.
The correct answer: D
Hope this helps!
-Jay
_________________
Manhattan Review GMAT Prep
Locations: Beijing | Copenhagen | Oslo | Lisbon | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
GMAT/MBA Expert
- Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7242
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
We can let time of trains A and B = t and create the following equation:BTGmoderatorDC wrote:Trains A and B start simultaneously from stations 300 miles apart, and travel the same route toward each other on adjacent parallel tracks. If Train A and Train B travel at a constant rate of 50 miles per hour and 40 miles per hour, respectively, how many miles will Train A have traveled when the trains pass each other, to the nearest mile?
(A) 112
(B) 133
(C) 150
(D) 167
(E) 188
How will i find the best solution in this?
OA D
50t + 40t = 300
90t = 300
t = 300/90 = 10/3 hours
So train A will have traveled 50 x 10/3= 500/3 = 166 2/3 miles by the time they passed, which is closest to the answer of 167.
Answer: D
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews