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Bunuel
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If it takes Josh 18 minutes to do 54 math problems and he continues 17 Jan 2017, 08:01
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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5% (low)

Question Stats:

98% (00:53) correct 2% (01:00) wrong based on 114 sessions

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If it takes Josh 18 minutes to do 54 math problems and he continues working at the same rate, how long will it take him to do 81 problems?

A. 18 minutes
B. 27 minutes
C. 36 minutes
D. 54 minutes
E. 1 hour 21 minutes
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B
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If it takes Josh 18 minutes to do 54 math problems and he continues 17 Jan 2017, 08:08
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Bunuel
If it takes Josh 18 minutes to do 54 math problems and he continues working at the same rate, how long will it take him to do 81 problems?

A. 18 minutes
B. 27 minutes
C. 36 minutes
D. 54 minutes
E. 1 hour 21 minutes

Josh can solve 54 maths problems in 18 minutes
So, Josh can solve 1 maths problems in 18/54 minutes
And, Josh can solve 81 maths problems in 18/54*81 minutes = 27 minutes

Thus, Josh can solve 81 maths problems in 27 minutes ...

Answer will be (B) 27 minutes
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If it takes Josh 18 minutes to do 54 math problems and he continues 17 Jan 2017, 12:29
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Bunuel
If it takes Josh 18 minutes to do 54 math problems and he continues working at the same rate, how long will it take him to do 81 problems?

A. 18 minutes
B. 27 minutes
C. 36 minutes
D. 54 minutes
E. 1 hour 21 minutes

18 min -> 54 Problem Means, 1 min -> 3 problem.
So time for 81 problem= 81/3 = 27 min
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If it takes Josh 18 minutes to do 54 math problems and he continues 18 Jan 2017, 06:05
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Work = Rate & Time

54 = Rate* 18.............Rate =3 problems/min

Rate is constant, and applying same formula above.

Time = 81 /3 = 27 min

Answer: B
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If it takes Josh 18 minutes to do 54 math problems and he continues 23 Jan 2017, 07:03
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Bunuel
If it takes Josh 18 minutes to do 54 math problems and he continues working at the same rate, how long will it take him to do 81 problems?

A. 18 minutes
B. 27 minutes
C. 36 minutes
D. 54 minutes
E. 1 hour 21 minutes

We can set up a simple proportion to determine how long it will take Josh to complete 81 math problems. Be sure to put the numbers in the correct positions in each fraction of the proportion, in this case the number of problems in the numerator and the number of minutes in the denominator for each fraction:

54 problems/18 minutes = 81 problems/x minutes

54/18 = 81/x

3 = 81/x

x = 81/3 = 27 minutes

Note that you also could have set up the proportion as:

18 minutes/54 problems = x minutes/81 problems

and the answer would be the same. Be sure to match up the units in the fractions of proportion problems.

Answer: B
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