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Cyclist A averages 19.9 miles per hour and Cyclist B averages 15.1 mil

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Bunuel
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Cyclist A averages 19.9 miles per hour and Cyclist B averages 15.1 mil [#permalink] New post   13 Aug 2019, 03:42
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Cyclist A averages 19.9 miles per hour and Cyclist B averages 15.1 miles per hour. If each cycle is ridden 1,500 miles, approximately how many more hours will Cyclist B ride than Cyclist A?

A. 18
B. 20
C. 25
D. 30
E. 36
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C
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Palladin
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Re: Cyclist A averages 19.9 miles per hour and Cyclist B averages 15.1 mil [#permalink] New post   13 Aug 2019, 04:07
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Bunuel wrote:
Cyclist A averages 19.9 miles per hour and Cyclist B averages 15.1 miles per hour. If each cycle is ridden 1,500 miles, approximately how many more hours will Cyclist B ride than Cyclist A?

A. 18
B. 20
C. 25
D. 30
E. 36


Note that the questions asked for approximate difference in hours.

Time taken by Cyclist A to travel 1500 miles = \(\frac{1500}{19.9} \approx \frac{1500}{20} = 75 \text{ hours}\)
Time taken by Cyclist B to travel 1500 miles = \(\frac{1500}{15.1} \approx \frac{1500}{15} = 100 \text{ hours}\)

Number of hours Cyclist B cycled more than Cyclist A = \(100 - 75 = 25\)
Answer is C.
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Re: Cyclist A averages 19.9 miles per hour and Cyclist B averages 15.1 mil [#permalink] New post   13 Aug 2019, 09:18
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Bunuel wrote:
Cyclist A averages 19.9 miles per hour and Cyclist B averages 15.1 miles per hour. If each cycle is ridden 1,500 miles, approximately how many more hours will Cyclist B ride than Cyclist A?

A. 18
B. 20
C. 25
D. 30
E. 36


Given: Cyclist A averages 19.9 miles per hour and Cyclist B averages 15.1 miles per hour.

Asked: If each cycle is ridden 1,500 miles, approximately how many more hours will Cyclist B ride than Cyclist A?

Hours for Cyclist A = 1500/19.9 = 75 hours approx
Hours for Cyclist B = 1500/15.1 = 100 hours approx

Difference = 100 -75 = 25 hours

IMO C
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Re: Cyclist A averages 19.9 miles per hour and Cyclist B averages 15.1 mil [#permalink] New post   13 Aug 2019, 03:49
1500÷15.1=~99.3
1500÷19.9=~75.3
99.3-75.3=24
Nearest to the option C

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Re: Cyclist A averages 19.9 miles per hour and Cyclist B averages 15.1 mil [#permalink] New post   13 Aug 2019, 04:23
We can approximate 15.1 to 15 and 19.9 to 20.

\(\frac{1500}{15}\) - \(\frac{1500}{20}\) = 100 - 75
Number of hours Cyclist B ride more than Cyclist A = 25 hours


So, option C.
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Bunuel
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Re: Cyclist A averages 19.9 miles per hour and Cyclist B averages 15.1 mil [#permalink] New post   04 Oct 2019, 01:57
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Bunuel wrote:
Cyclist A averages 19.9 miles per hour and Cyclist B averages 15.1 miles per hour. If each cycle is ridden 1,500 miles, approximately how many more hours will Cyclist B ride than Cyclist A?

A. 18
B. 20
C. 25
D. 30
E. 36


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ruis
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Cyclist A averages 19.9 miles per hour and Cyclist B averages 15.1 mil [#permalink] New post   24 Dec 2023, 11:05
How could we solve this qq with relative speeds? We cannot because we do not know if they are cycling in the same direction or opposite direction?
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Cyclist A averages 19.9 miles per hour and Cyclist B averages 15.1 mil [#permalink]
24 Dec 2023, 11:05
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