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Distance/Rate Problems

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Distance/Rate Problems

by swerve » Fri Apr 17, 2020 1:03 pm

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Your Answer

A

B

C

D

E

Global Stats

Paul jogs at a constant rate for 80 minutes along the same route every day. How long is the route?

1) Yesterday, Paul began jogging at 5:00 P.M.
2) Yesterday, Paul had jogged 5 miles by 5:40 P.M. and 8 miles by 6:04 P.M.

The OA is B

Source: Princeton Review
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Source: — Data Sufficiency |
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Re: Distance/Rate Problems

by deloitte247 » Sun Apr 26, 2020 6:42 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Paul jogs at a constant rate of 80 minutes along the same route every day, How long is the route?
Distance = speed * time, where time = 80 minutes

Statement 1 => Yesterday Paul began jogging at 5:00pm
The speed is unknown and the total distance covered cannot be estimated. Hence, statement 1 is NOT SUFFICIENT

Statement 2 => Yesterday Paul had jogged 5 miles by 5:40pm and by 8 miles by 6:04pm, between 5:40pm and 6:40pm, he spent 24 minutes and covered 8 - 5 = 3 miles
$$So\ his\ average\ speed\ =\ \frac{dis\tan ce}{time}=\frac{3}{24}=\frac{1}{8}$$
$$=\frac{1}{8\ }miles\ per\ \min ute$$

From the question stem, distance = speed * time, where speed = 1/8 miles per minute and time = 80 minutes
$$Therefore,\ dis\tan ce\ =\frac{1}{8}\cdot80=\frac{80}{8}=10\ miles$$
Statement 2 alone is SUFFICIENT

Answer = B
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