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Chan and Mieko drove separate cars along the entire length of a certai

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mihir0710
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Chan and Mieko drove separate cars along the entire length of a certai [#permalink] New post  15 May 2017, 02:08
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Chan and Mieko drove separate cars along the entire length of a certain route. If Chan made the trip in 15 minutes, how many minutes did it take Mieko to make the same trip?

(1) Mieko’s average speed for the trip was 3/4 of Chan’s average speed.
(2) The route is 14 miles long.
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attari92
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Re: Chan and Mieko drove separate cars along the entire length of a certai [#permalink] New post  15 May 2017, 02:17
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Statement 1st- Chan's speed : Mieko's speed = 4:3 and for same distance speed is inversely proportional to time => c's time : m's time =3:4 and 3-> 15 minutes that implies 4 part represents 20 minutes and hence sufficient.
Statement 2nd is clearly insufficient -> OPTION A
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BrentGMATPrepNow
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Re: Chan and Mieko drove separate cars along the entire length of a certai [#permalink] New post  30 Sep 2020, 09:48
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mihir0710 wrote:
Chan and Mieko drove separate cars along the entire length of a certain route. If Chan made the trip in 15 minutes, how many minutes did it take Mieko to make the same trip?

(1) Mieko’s average speed for the trip was 3/4 of Chan’s average speed.
(2) The route is 14 miles long.


Given: Chan and Mieko drove separate cars along the entire length of a certain route. Chan made the trip in 15 minutes.

Target question: how many minutes did it take Mieko to make the same trip?

Statement 1: Mieko’s average speed for the trip was 3/4 of Chan’s average speed.
If you aren't familiar with attari92's inverse proportion property, you can still solve the question.

Let d = the distance traveled
Let r = Chan's speed (in the miles per minute)
So, (3/4)r = Mieko's speed (in the miles per minute)
In other words, 3r/4 = Mieko's speed

time = distance/speed
So, from the given information, we can write: d/r = 15 (minutes)

This means Mieko's travel time = d/(3r/4)
= (d)(4/3r)
= 4d/3r
= (4/3)(d/r)
= (4/3)(15)
= 20
So, Mieko's travel time is 20 minutes
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: The route is 14 miles long
Since this statement provides no information about Mieko, there's no way to calculate Mieko's travel time
Statement 2 is NOT SUFFICIENT

Answer: A

Cheers,
Brent
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PietroGirardi
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Re: Chan and Mieko drove separate cars along the entire length of a certai [#permalink] New post  04 Oct 2020, 06:35
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mihir0710 wrote:
Chan and Mieko drove separate cars along the entire length of a certain route. If Chan made the trip in 15 minutes, how many minutes did it take Mieko to make the same trip?

(1) Mieko’s average speed for the trip was 3/4 of Chan’s average speed.
(2) The route is 14 miles long.



Distance= Rate x time
Chan --> Rc x 15 = D
Mieko -->Rm x t =D

Statement A
(1) Mieko’s average speed for the trip was 3/4 of Chan’s average speed.

Rc x 15 = 3/4rRc x t --> we can solve to find mieko's time

2) The route is 14 miles long.[/quote] -->we can't say nothing about mieko's average speed and thus about its time
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Re: Chan and Mieko drove separate cars along the entire length of a certai [#permalink] New post  23 Dec 2022, 01:24
Bumping for forum quiz and tests!
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Re: Chan and Mieko drove separate cars along the entire length of a certai [#permalink]
23 Dec 2022, 01:24
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