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If Danielle ran a race at a constant speed, at what time did

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If Danielle ran a race at a constant speed, at what time did [#permalink] New post 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.

Please provide detailed explanation!
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Re: If Danielle ran a race at a constant speed, at what time did [#permalink] New post 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
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Re: If Danielle ran a race at a constant speed, at what time did [#permalink] New post 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] New post 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)
Re: If Danielle ran a race at a constant speed, at what time did   [#permalink] 30 Jul 2013, 12:55
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