On a trip a motorist drove 150 miles

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On a certain trip, a motorist drove 10 miles at 30 miles per hour, 10 [#permalink]

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On a certain trip, a motorist drove 10 miles at 30 miles per hour, 10 miles at 40 miles per hour and 10 miles at 50 miles per hour. What portion of her total driving time was spent driving 50 miles per hour?

A. 64/51

B. 5/7

C. 5/12

D. 1/3

E. 12/47

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Re: On a certain trip, a motorist drove 10 miles at 30 miles per hour, 10 [#permalink]

Total time spent on journey = 10/30 + 10/40 + 10/50 = 20 minutes + 15 minutes + 12 minutes = 47 minutes
Motorist spent 12 minutes at 50 miles/hr speed.

The answer is E. 12/47
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Re: On a certain trip, a motorist drove 10 miles at 30 miles per hour, 10 [#permalink]

Time taken to travel 10 miles @:

30mph = \(\frac{10}{30}\) = \(\frac{1}{3}\) hr = 20 mins
40mph = \(\frac{10}{40}\) = \(\frac{1}{4}\) hr = 15 mins
50mph = \(\frac{10}{50}\) = \(\frac{1}{5}\) hr = 12 mins

Total Time for the entire trip = 47 mins

%of trip traveled @ 50mph = \(\frac{12}{47}\)

Option E

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Re: On a certain trip, a motorist drove 10 miles at 30 miles per hour, 10 [#permalink]

T¹= (10/30) hrs = 20 mins
T²= (10/40) hrs = 15 mins
T³= (10/50) hrs = 12 mins

Total driving time = 47 mins

Therefore, portion of time spent driving at 50miles/hr = 12/47

The answer will be E.

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Re: On a certain trip, a motorist drove 10 miles at 30 miles per hour, 10 [#permalink]

Total time = 1/3 +1/4 +1/5 ... Time taken on 50 mph = 1/5/ (1/3+1/4+1/5) = 12 / 47 .... E
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Re: On a certain trip, a motorist drove 10 miles at 30 miles per hour, 10 [#permalink]

11 Jan 2021, 05:41

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