Car A and car B are driving towards each other along

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swerve: Legendary Member; Posts: 2579; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

by swerve » Sat Apr 28, 2018 1:37 pm

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Car A and car B are driving towards each other along straight line. Car A travels at a constant speed of 60 miles/hr and car B travels at a constant speed of 40 miles/hr. If at noon they are separated by a distance of 300 miles, at what time will they meet?

A. 2.40 pm
B. 3.00 pm
C. 3.20 pm
D. 3.40 pm
E. 4.00 pm

The OA is B.

Please, can anyone explain this PS question? I tried to solve it but I can't get the correct answer. I need help. Thanks.

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Source: Beat The GMAT — Problem Solving | Sat Apr 28, 2018 1:37 pm

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by [email protected] » Sat Apr 28, 2018 7:16 pm

Hi swerve,

We're told that Car A and car B are driving towards each other along straight line, Car A travels at a constant speed of 60 miles/hr, car B travels at a constant speed of 40 miles/hr and at NOON they are separated by a distance of 300 miles. We're asked for the time at which they meet.

Based on the two speeds, we know that every HOUR the TOTAL distance traveled by the two cars will be 60 miles + 40 miles = 100 miles. Thus, since the distance between the cars at NOON is 300 miles, it will take (300 miles)/(100 miles/hour) = 3 hours for the two cars to meet. Three hours AFTER Noon = 3:00 pm.

Final Answer: B

GMAT assassins aren't born, they're made,
Rich

Contact Rich at [email protected]

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Jeff@TargetTestPrep: GMAT Instructor; Posts: 1462; Joined: Thu Apr 09, 2015 9:34 amFollowed by: 22 members; Location: New York, NY; Thanked: 39 times

by Jeff@TargetTestPrep » Wed May 02, 2018 9:31 am

swerve wrote:Car A and car B are driving towards each other along straight line. Car A travels at a constant speed of 60 miles/hr and car B travels at a constant speed of 40 miles/hr. If at noon they are separated by a distance of 300 miles, at what time will they meet?

A. 2.40 pm
B. 3.00 pm
C. 3.20 pm
D. 3.40 pm
E. 4.00 pm

We can use the following formula:

distance of car A + distance of car B = total distance = 300

We can let the time of car A and car B = t. Thus:

60t + 40t = 300

100t = 300

t = 3

Since they are separated by a distance of 300 miles at noon and they will meet three hours later, then they will meet at 3 p.m.

Answer: B

Jeffrey Miller
Head of GMAT Instruction
[email protected]

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

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