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Nicky and Cristina are running a race. Since Cristina is faster than Nicky, she gives him a 36 meter head start. If

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by VJesus12 » Sun Apr 25, 2021 12:38 pm

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Nicky and Cristina are running a race. Since Cristina is faster than Nicky, she gives him a 36-meter head start. If Cristina runs at a pace of 5 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him? (Note: 36-meter head start means that Nicky begins running from a location that is 36 meters ahead of Christina's location.)

(A) 15 seconds
(B) 18 seconds
(C) 25 seconds
(D) 30 seconds
(E) 45 seconds

Answer: B

Source: Manhattan GMAT
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Re: Nicky and Cristina are running a race. Since Cristina is faster than Nicky, she gives him a 36 meter head start. If

by Brent@GMATPrepNow » Mon Apr 26, 2021 4:48 am
VJesus12 wrote: ↑
Sun Apr 25, 2021 12:38 pm
 Nicky and Cristina are running a race. Since Cristina is faster than Nicky, she gives him a 36-meter head start. If Cristina runs at a pace of 5 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him? (Note: 36-meter head start means that Nicky begins running from a location that is 36 meters ahead of Christina's location.)

(A) 15 seconds
(B) 18 seconds
(C) 25 seconds
(D) 30 seconds
(E) 45 seconds

Answer: B

Source: Manhattan GMAT
In 1 second, Nicky runs 3 meters, and Christina runs 5 meters.
So, in ONE SECOND the gap between Nicky and Christina decreases by 2 meters.

At the beginning, the gap between them is 36 meters. So, since (18)(2) = 36, we can see that it will take 18 seconds for the 36-meter gap to reduce to zero meters.

Answer: B

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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