If Danielle ran a race at a constant speed, at what time did : GMAT Data Sufficiency (DS)
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# If Danielle ran a race at a constant speed, at what time did

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01 Jun 2013, 01:38
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If Danielle ran a race at a constant speed, at what time did she finish?

(1) Danielle started the race at 8:00 a.m.

(2) At 9:30 a.m. Danielle was halfway through the race, and at 10:00 a.m., she was 2/3 of the way through the race.

[Reveal] Spoiler: OA

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01 Jun 2013, 01:43
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If Danielle ran a race at a constant speed, at what time did she finish?

(1) Danielle started the race at 8:00 a.m.
No info about the speed, or time.
Not sufficient

(2) At 9:30 a.m. Danielle was halfway through the race, and at 10:00 a.m., she was 2/3 of the way through the race.
This means that in 30 minutes (10:00-9:30) she runs $$\frac{2}{3}-\frac{1}{2}=\frac{1}{6}$$ of the race.
At 10:00 she has $$\frac{1}{3}$$ left to run or $$\frac{2}{6}$$ and, according to the upper calculus, she will run it in $$1$$ hour (1/6 every 30 minutes).
She will finish at 11:00 am.
Sufficient
B
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Re: If Danielle ran a race at a constant speed, at what time did [#permalink]

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22 Jun 2013, 09:49
solved in 32 secs. exactly the approach by zarrolou. between 9.30 and 10 she covers 2/3 -1/2 part of the journey. Therefore we can calculate the time required to travel 1/2 of the distance and adding this time to 9.30 we get the time of finish.
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Re: If Danielle ran a race at a constant speed, at what time did [#permalink]

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30 Jul 2013, 12:55
If Danielle ran a race at a constant speed, at what time did she finish?

(1) Danielle started the race at 8:00 a.m.
This tells us nothing about when she finished, how far she ran, rate, etc.
INSUFFICIENT

(2) At 9:30 a.m. Danielle was halfway through the race, and at 10:00 a.m., she was 2/3 of the way through the race.
Lets say she ran 10 miles.
In 1.5 hours she ran 5/10 miles.
in 2.0 hours she ran roughly 6.67 miles.

Every half hour she ran (5/10) / (1/3) miles: 1.67miles. If she ran at a constant speed, that means she finished the race by 11 A.M. It's not the distance that is important but rather, the rate she runs at. If her rate is constant and she finishes the intervals at the same time, the distance she covers is irrelevant.
SUFFICIENT

(B)
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Re: If Danielle ran a race at a constant speed, at what time did [#permalink]

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10 Feb 2015, 14:18
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Re: If Danielle ran a race at a constant speed, at what time did [#permalink]

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03 Apr 2015, 07:16
only B is enough .
at 9.30 he had completed half race , and at 10 he had compelted 2/3 rd race so within half hour he compelted (1/2-2/3)th race. since speed is constant . Its possible to calcuate when race will over. (no need to calculate though)
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Re: If Danielle ran a race at a constant speed, at what time did [#permalink]

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13 Oct 2016, 06:21
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If Danielle ran a race at a constant speed, at what time did   [#permalink] 13 Oct 2016, 06:21
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