Two dogs at opposite ends of a field of 630 foot run towards each other along a straight path and at a constant rate. If

[BTGmoderatorDC]

Two dogs at opposite ends of a field of 630 foot run towards each other along a straight path and at a constant rate. If the first dog runs at 12 feet per second and the second dog runs at 23 feet per second, then how long does it take the two dogs to meet?

A. 10 seconds
B. 12 seconds
C. 18 seconds
D. 21 seconds
E. 23 seconds



OA C

Source: EMPOWERgmat

[Jay@ManhattanReview]

Two dogs at opposite ends of a field of 630 foot run towards each other along a straight path and at a constant rate. If the first dog runs at 12 feet per second and the second dog runs at 23 feet per second, then how long does it take the two dogs to meet?

A. 10 seconds
B. 12 seconds
C. 18 seconds
D. 21 seconds
E. 23 seconds



OA C

Source: EMPOWERgmat

Since the dogs are moving towards each other, their relative speed would be 12 feet per second + 123 feet per second = 35 feet per second

Time taken to cover 630 feet at 35 feet per second = 630/35 = 18 seconds

The correct answer: C

Hope this helps!

-Jay
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[Scott@TargetTestPrep]

Two dogs at opposite ends of a field of 630 foot run towards each other along a straight path and at a constant rate. If the first dog runs at 12 feet per second and the second dog runs at 23 feet per second, then how long does it take the two dogs to meet?

A. 10 seconds
B. 12 seconds
C. 18 seconds
D. 21 seconds
E. 23 seconds



OA C

Source: EMPOWERgmat

Solution:

We can create equation:

12t + 23t = 630

35t = 630

t = 630/35 = 18

Alternate Solution:

The two dogs are closing the distance gap between them at a rate of 12 + 23 = 35 feet per second. Thus, it will take them 630/35 = 18 seconds to meet.

Answer: C