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Mike drives 45 mph to work and arrives in 20 minutes. If he

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Senior Manager
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Mike drives 45 mph to work and arrives in 20 minutes. If he [#permalink] New post 02 Oct 2017, 22:28
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Mike drives 45 mph to work and arrives in 20 minutes. If he wants to complete the trip in 15 minutes, how fast must he drive?

(A) 42

(B) 50

(C) 54

(D) 57

(E) 60

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Re: Mike drives 45 mph to work and arrives in 20 minutes. If he [#permalink] New post 03 Oct 2017, 04:28
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Using the basic formula \(speed = \frac{distance}{time}\), we can easily compute the distance to work as \(45*\frac{1}{3} = 15\), where 45 is the speed and 1/3 is 20 minutes in hours.

Now, we want to compute the speed necessary to do the same trip in 15 minutes, or 1/4 hours. Thus, \(15*4 = 60\). The speed is 60 mph.

Answer E
Re: Mike drives 45 mph to work and arrives in 20 minutes. If he   [#permalink] 03 Oct 2017, 04:28
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Mike drives 45 mph to work and arrives in 20 minutes. If he

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