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

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

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New post 21 Mar 2017, 04:08
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

67% (01:06) correct 33% (00:58) wrong based on 108 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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Re: Barry builds sand castles 50% faster than Michelle. If it takes Michel  [#permalink]

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New post 21 Mar 2017, 08:36
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.

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

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

Which is answer D
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Re: Barry builds sand castles 50% faster than Michelle. If it takes Michel  [#permalink]

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New post 27 Jul 2018, 08:47
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Re: Barry builds sand castles 50% faster than Michelle. If it takes Michel &nbs [#permalink] 27 Jul 2018, 08:47
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