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21 Mar 2017, 05:08
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
67% (01:12) correct
33%
(01:05)
wrong
based on 470
sessions
History
Date
Time
Result
Not Attempted Yet
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
A. 16
B. 20
C. 24
D. 32
E. 40
21 Mar 2017, 09:36
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Bunuel
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 \(= 2 * 1.5 = 3\)
- 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 \(\frac{T_{Michelle}}{T_{Barry}} = \frac{3}{2}\)
- 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
Quant Expert
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21 Mar 2017, 10:09
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a x 1.5 = 48
a = 48/1.5
a = 32
Which is answer D
a = 48/1.5
a = 32
Which is answer D
