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

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Intern
Joined: 26 Jun 2012
Posts: 24
Location: Germany
GMAT 1: 570 Q31 V39
GMAT 2: 710 Q43 V44
Lexy walks 5 miles from point A to point B in one hour, then  [#permalink]

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21 Jul 2013, 14:16
3
6
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Difficulty:

55% (hard)

Question Stats:

70% (02:19) correct 30% (02:22) wrong based on 622 sessions

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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?

A. 40
B. 80
C. 120
D. 160
E. 180
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Joined: 02 Sep 2009
Posts: 50036
Re: Lexy walks 5 miles from point A to point B in one hour, then  [#permalink]

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21 Jul 2013, 14:24
2
6
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.

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

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29 Oct 2013, 22:29
5
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

Pushpinder Gill
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Joined: 13 May 2013
Posts: 429
Re: Lexy walks 5 miles from point A to point B in one hour, then  [#permalink]

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02 Aug 2013, 12:16
1
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.

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

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29 Oct 2013, 20:20
2
Lexy travels 10 miles (5+5) in 80 Mins (60 + 60/3)
So, speed of Lexy = 10/80 = 1/8

Speed of Ben is half of speed of Lexy = 1/16

So, time taken by Ben = 10 / (1/16) = 160 Minutes

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

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09 Aug 2015, 08:32
Harmonic average for average speed: 2/(1/5+1/15)=15/2

the half speed: 15/2:2=15/4

10/(15/4)=8/3h*60=160min.

D
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Joined: 28 Jun 2015
Posts: 293
Concentration: Finance
GPA: 3.5
Re: Lexy walks 5 miles from point A to point B in one hour, then  [#permalink]

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09 Aug 2015, 09:02
Time taken by Lexy to walk from point B to A => 60*5/15 = 20 mins.

Average speed of Lexy = 5+5/(60+20) = 10/80 = 7.5 mph.

Ben's average speed = 7.5/2 = 3.75 mph.

Time taken by Ben = 10*60/3.75 = 160 mins. Ans (D).
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Re: Lexy walks 5 miles from point A to point B in one hour, then  [#permalink]

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03 Dec 2016, 01:59
Total time taken by Ben will be twice the total time taken by Lexy
ie from 2 * ( 1+15/5) = 2* ( 4/3) = 8/3 hours = 8*60/3 minutes = 160 minutes
Manager
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Posts: 86
Re: Lexy walks 5 miles from point A to point B in one hour, then  [#permalink]

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27 Oct 2017, 23:28
1
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.

Hi Bunuel,

Can u tell me why we can't use this formula?

Avg speed=2ab/a+b

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Posts: 86
Re: Lexy walks 5 miles from point A to point B in one hour, then  [#permalink]

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27 Oct 2017, 23:39
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

10/x=3.75/60
Therefore, x=160 minutes
Intern
Joined: 04 May 2015
Posts: 17
Re: Lexy walks 5 miles from point A to point B in one hour, then  [#permalink]

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28 Oct 2017, 08:40
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
Intern
Joined: 04 May 2015
Posts: 17
Re: Lexy walks 5 miles from point A to point B in one hour, then  [#permalink]

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28 Oct 2017, 08:41
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
Re: Lexy walks 5 miles from point A to point B in one hour, then &nbs [#permalink] 28 Oct 2017, 08:41
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