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Jerry and Ross decided to have a footrace. They run 1,000 meters. Jerry runs 5 meters per second, and Ross runs 4 meters

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by BTGmoderatorLU » Wed Sep 09, 2020 10:02 am

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Source: Manhattan Prep

Jerry and Ross decide to have a footrace. They run 1,000 meters. Jerry runs 5 meters per second, and Ross runs 4 meters per second. Halfway through the race, Jerry realizes he is ahead and stops running for one full minute before finishing the race at the same speed. Who wins the race?

A. Jerry
B. Ross
C. Both

The OA is B
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Re: Jerry and Ross decided to have a footrace. They run 1,000 meters. Jerry runs 5 meters per second, and Ross runs 4 me

by Nirav Umaretiya » Sat Sep 12, 2020 10:21 pm
Jarry runs at 5mps so he would take
\(\frac{1000\ meters}{5\ Seconds}\) + 60 seconds of rest = 200 + 60 = 260 seconds

Ross runs at 4mps so he would take
\(\frac{1000\ meters}{4\ Seconds}\) = 250 senconds

So Ross wins the rase (Monika will be so proud to know :lol: )

The correct answer is B
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Re: Jerry and Ross decided to have a footrace. They run 1,000 meters. Jerry runs 5 meters per second, and Ross runs 4 me

by Scott@TargetTestPrep » Mon Sep 14, 2020 4:13 am
BTGmoderatorLU wrote: ↑
Wed Sep 09, 2020 10:02 am
 Source: Manhattan Prep

Jerry and Ross decide to have a footrace. They run 1,000 meters. Jerry runs 5 meters per second, and Ross runs 4 meters per second. Halfway through the race, Jerry realizes he is ahead and stops running for one full minute before finishing the race at the same speed. Who wins the race?

A. Jerry
B. Ross
C. Both

The OA is B
Solution:

It takes Jerry 1000/5 = 200 seconds to finish the race if he doesn’t take a break. However, since he takes a one-minute break, it takes him 200 + 60 = 260 seconds to finish the race.

Since it takes Ross 1000/4 = 250 seconds to finish the race (which is less than Jerry’s time of 260 seconds), Ross is the winner.

Answer: B

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