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Paul jogs at a constant rate for 80 minutes along the same route every

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Paul jogs at a constant rate for 80 minutes along the same route every  [#permalink]

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New post 03 Mar 2015, 15:31
2
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

67% (01:14) correct 33% (01:24) wrong based on 185 sessions

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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.
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Re: Paul jogs at a constant rate for 80 minutes along the same route every  [#permalink]

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New post 03 Mar 2015, 23:02
Hi Stardust Chris,

The 'key' to this DS question is to spot the hidden ratio when it occurs....

We're told that Paul jogs at a constant rate for 80 minutes. The question asks how FAR Paul jogs in that time.

Fact 1: Paul began jogging at 5pm.

Paul's start time tells us nothing about the distance he traveled (although we could figure out when he finished running - 5:00pm + 80 minutes = 6:20pm).
Fact 1 is INSUFFICIENT

Fact 2: Paul had jogged 5 miles by 5:40 P.M. and 8 miles by 6:04 P.M

Here, we actually have specific information about HOW FAR Paul traveled during a certain period of time...

5 miles by 5:40pm
8 miles by 6:04pm

This means that Paul jogged 3 miles in 24 minutes. Since Paul is jogging at a CONSTANT speed, we can now figure out how far he traveled over ANY period of time....

3 miles in 24 minutes =
1 mile in 8 minutes.

Seeing this ratio, we CAN answer the question. While you don't need to do the extra work at this point, you could....

1 mile/8 minutes = X miles/80 minutes

X = 10 miles
Fact 2 is SUFFICIENT

Final Answer:

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Re: Paul jogs at a constant rate for 80 minutes along the same route every  [#permalink]

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New post 22 Jan 2018, 23:39
Stardust Chris wrote:
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.


(1) Began jogging at 5 pm, but nothing else mentioned. Obviously insufficient.

(2) No idea when he began jogging, but we know one thing for sure - that Paul jogged 3 miles in 24 minutes (from 5:40 pm to 6:04 pm). So his speed is 3/24 = 1/8 miles per minute. So in 80 minutes he will cover = 1/8 * 80 = 10 miles. Sufficient.

Hence B answer
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Re: Paul jogs at a constant rate for 80 minutes along the same route every   [#permalink] 22 Jan 2018, 23:39
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