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# Barry builds sand castles 50% faster than Michelle. If it takes Michel

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Math Expert
Joined: 02 Sep 2009
Posts: 49303
Barry builds sand castles 50% faster than Michelle. If it takes Michel  [#permalink]

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21 Mar 2017, 05:08
00:00

Difficulty:

35% (medium)

Question Stats:

65% (00:59) correct 35% (00:44) wrong based on 101 sessions

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Barry builds sand castles 50% faster than Michelle. If it takes Michelle 48 minutes to build a sand castle, how many minutes does it take Barry to build a sand castle?

A. 16
B. 20
C. 24
D. 32
E. 40

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Joined: 04 Jan 2015
Posts: 2007
Re: Barry builds sand castles 50% faster than Michelle. If it takes Michel  [#permalink]

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21 Mar 2017, 09:36
Bunuel wrote:
Barry builds sand castles 50% faster than Michelle. If it takes Michelle 48 minutes to build a sand castle, how many minutes does it take Barry to build a sand castle?

A. 16
B. 20
C. 24
D. 32
E. 40

It is given that - "Barry builds sand castles 50% faster than Michelle"

• This means If Efficiency of Michelle is $$2$$, then
o the efficiency of Barry would be $$= 2 * 1.5 = 3$$
• Thus, the ratio of efficiency can be written as -
o $$\frac{E_{Michelle}}{E_{Barry}} = \frac{2}{3}$$

• We know that for the same work, Efficiency and Time are inverse proportional, thus, we can infer

o $$\frac{T_{Michelle}}{T_{Barry}} = \frac{3}{2}$$
• We are givne that time taken by Michelle = 48 mins, thus time taken by Barry would be -
o $$\frac{48}{T_{Barry}} = \frac{3}{2}$$
o $$T_{Barry} = 48*\frac{2}{3}= 32$$mins

Thus, the correct answer is Option D.

Thanks,
Saquib
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Re: Barry builds sand castles 50% faster than Michelle. If it takes Michel  [#permalink]

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21 Mar 2017, 10:09
a x 1.5 = 48
a = 48/1.5
a = 32

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Joined: 09 Sep 2013
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Re: Barry builds sand castles 50% faster than Michelle. If it takes Michel  [#permalink]

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27 Jul 2018, 09:47
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Re: Barry builds sand castles 50% faster than Michelle. If it takes Michel &nbs [#permalink] 27 Jul 2018, 09:47
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# Barry builds sand castles 50% faster than Michelle. If it takes Michel

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