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Jerry and Ross decide to have a footrace. They run 1,000 meters. Jerry

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Jerry and Ross decide to have a footrace. They run 1,000 meters. Jerry [#permalink] New post   30 Dec 2015, 02:02
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The question below was culled from M-GMAT flashcards. It has no options. I'll appreciate explanations with kudoses.

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
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B
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Jerry and Ross decide to have a footrace. They run 1,000 meters. Jerry [#permalink] New post   30 Dec 2015, 02:16
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Hi!
Ross will win by 10 seconds.
Sol:
total distanse=1000m
Jerry@ 5m/s will take =200 secs..
Ross @ 4m/s will take = 250 secs..
Jerry stops for 1 min or 60 secs..
where does he stop, doesnt matter..
add this 60 sec to his time..
Jerry will now cover the distance in 200+60=260 sec, while Ross will take 250 secs..
so Ross will reach 10 secs early..
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Jerry and Ross decide to have a footrace. They run 1,000 meters. Jerry [#permalink] New post   21 Jan 2017, 10:08
Nezdem wrote:
The question below was culled from M-GMAT flashcards. It has no options. I'll appreciate explanations with kudoses.

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


J's total time=2*(500/5)+60=260 sec
R's total time=1000/4=250 sec
R wins by 10 sec
B
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Re: Jerry and Ross decide to have a footrace. They run 1,000 meters. Jerry [#permalink] New post   18 Sep 2020, 07:02
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Ekland wrote:
The question below was culled from M-GMAT flashcards. It has no options. I'll appreciate explanations with kudoses.

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

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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Jerry and Ross decide to have a footrace. They run 1,000 meters. Jerry [#permalink] New post   30 Dec 2020, 15:42
Hi, I used a different approach to solve this question, I converted the rate in minute:

Jerry's rate : 5 meters/sec is 300 meters per minute
Ross' rate : 4 meters/sec is 240 meters per minute

At his rate, Jerry is supposed to finish the race in 1000/300= 10/3 = 3+1/3 or 3 minutes and 20 seconds
At his rate, Ross is supposed to finish the race in 1000/240= 250/60 = 4 minutes and 10 seconds

If Jerry stops during a full minute, he will complete the race in 4 minutes and 20 seconds, which is 10 seconds after Ross

Therefore, Ross wins

EDIT : Actually, converting the rate takes longer to solve. Keeping the seconds is better.
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Re: Jerry and Ross decide to have a footrace. They run 1,000 meters. Jerry [#permalink] New post   09 Jan 2022, 20:22
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Re: Jerry and Ross decide to have a footrace. They run 1,000 meters. Jerry [#permalink]
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