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If Jim drives \(k\) miles in 50 minutes, how many minutes will it take him to drive 10 miles, at the same rate?

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If Jim drives \(k\) miles in 50 minutes, how many minutes will it take him to drive 10 miles, at the same rate?

by Gmat_mission » Fri May 15, 2020 1:55 am

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If Jim drives \(k\) miles in 50 minutes, how many minutes will it take him to drive 10 miles, at the same rate?

A. \(\dfrac{500}{k}\)
B. \(\dfrac{k}{500}\)
C. \(60k\)
D. \(10k\)
E. \(\dfrac{50}{k}\)

[spoiler]OA=A[/spoiler]

Source: Princeton Review
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Re: If Jim drives \(k\) miles in 50 minutes, how many minutes will it take him to drive 10 miles, at the same rate?

by Brent@GMATPrepNow » Fri May 15, 2020 5:43 am
Gmat_mission wrote: ↑
Fri May 15, 2020 1:55 am
 If Jim drives \(k\) miles in 50 minutes, how many minutes will it take him to drive 10 miles, at the same rate?

A. \(\dfrac{500}{k}\)
B. \(\dfrac{k}{500}\)
C. \(60k\)
D. \(10k\)
E. \(\dfrac{50}{k}\)

[spoiler]OA=A[/spoiler]

Source: Princeton Review
We can solve this question using equivalent ratios

Jim drives k miles in 50 minutes
We're comparing miles traveled to minutes elapsed.
Jim travels k miles for every 50 minutes.
Our ratio is k miles/50 minutes

How many minutes will it take him to drive 10 miles, at the same rate?
So, our ratio is 10 miles/? minutes

So, our equation is: k/50 = 10/?
Cross multiply to get: (?)(k) = (50)(10)
Simplify: (?)(k) = 500
Solve for ? to get: ? = 500/k

Answer: A

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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