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Lexy walks 5 miles from point A to point B in one hour, then [#permalink]

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21 Jul 2013, 13:16

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Lexy walks 5 miles from point A to point B in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip?

Lexy walks 5 miles from point A to point B in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip?

A. 40 B. 80 C. 120 D. 160 E. 180

\(average \ speed=\frac{total \ distance}{total \ time}=\frac{5+5}{1+\frac{5}{15}}=\frac{15}{2}\) miles per hour.

Ben's average speed = \(\frac{15}{4}\) miles per hour (half of Lexy's).

Ben's time = \(\frac{distance}{speed}=\frac{10}{(\frac{15}{4})}=\frac{8}{3}\) hours, or 8/3*60=160 minutes.

Re: Lexy walks 5 miles from point A to point B in one hour, then [#permalink]

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02 Aug 2013, 11:16

Lexy walks 5 miles from point A to point B in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip?

Average speed = total distance/total time

We know the total distance is 5+5 (going from A to B then from B to A)

Time = distance/speed Time = 5/15 Time = 1/3 hour

Average speed = (10)/(1hr + 1/3hr) Average speed (lexi) = 10 / 1.33 Therefore, if Ben's average speed is 1/2 of lexi's then his speed = 10/2.66.

This means it took him 2.66 hours to cover the same 10 miles Lexi did. 2.66 hours = roughly 160 minutes.

Re: Lexy walks 5 miles from point A to point B in one hour, then [#permalink]

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29 Oct 2013, 21:29

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kingflo wrote:

Lexy walks 5 miles from point A to point B in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip?

A. 40 B. 80 C. 120 D. 160 E. 180

Time taken by Lexy: 1 hour + 5/15 = 1 + 1/3 hours i.e 1 hour and 20 minutes

If Ben travels at half the speed then the time taken will be doubled: 2 hours and 40 minutes which is 120 + 40 = 160 minutes

Re: Lexy walks 5 miles from point A to point B in one hour, then [#permalink]

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27 Oct 2017, 22:28

Bunuel wrote:

kingflo wrote:

Lexy walks 5 miles from point A to point B in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip?

A. 40 B. 80 C. 120 D. 160 E. 180

\(average \ speed=\frac{total \ distance}{total \ time}=\frac{5+5}{1+\frac{5}{15}}=\frac{15}{2}\) miles per hour.

Ben's average speed = \(\frac{15}{4}\) miles per hour (half of Lexy's).

Ben's time = \(\frac{distance}{speed}=\frac{10}{(\frac{15}{4})}=\frac{8}{3}\) hours, or 8/3*60=160 minutes.

Re: Lexy walks 5 miles from point A to point B in one hour, then [#permalink]

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27 Oct 2017, 22:39

kingflo wrote:

Lexy walks 5 miles from point A to point B in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip?

A. 40 B. 80 C. 120 D. 160 E. 180

1/2 of Lexy's average speed is Ben's speed..

1/2(2ab/a+b) =1/2*{(2*15*5)/15+5)} =3.75..

We need the time in minutes so Total dis/Total time=Average speed

Re: Lexy walks 5 miles from point A to point B in one hour, then [#permalink]

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28 Oct 2017, 07:40

kingflo wrote:

Lexy walks 5 miles from point A to point B in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip?

A. 40 B. 80 C. 120 D. 160 E. 180

Lexy Avg speed: (5+5)/(1+1/3)=7.5 ben's speed : 7.5/2 time taken by ben: (10*2/7.5)*60=160 mins

Re: Lexy walks 5 miles from point A to point B in one hour, then [#permalink]

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28 Oct 2017, 07:41

kingflo wrote:

Lexy walks 5 miles from point A to point B in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip?

A. 40 B. 80 C. 120 D. 160 E. 180

Lexy Avg speed: (5+5)/(1+1/3)=7.5 ben's speed : 7.5/2 time taken by ben: (10*2/7.5)*60=160 mins