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
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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In 1 second, Nicky runs 3 meters, and Christina runs 5 meters.VJesus12 wrote: ↑Sun Apr 25, 2021 12:38 pmNicky 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
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