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A can do a certain job in 12 days. B is 60% more efficient than A. To do the same job B alone would take:

  1. A
    7 \frac{1}{2} days
  2. B
    8 days
  3. C
    10 days
  4. D
    7 days

Solution & Step-by-step Explanation

1. Establish the ratio of efficiencies:
Let the efficiency of A be 100%.
Since B is 60% more efficient than A, B's efficiency is 100%+60%=160%.

Efficiency of B
Efficiency of A

=
160
100

=
8
5


Use the inverse relationship between efficiency and time:

Efficiency×Time=Total Work
Efficiency of A×Time of A=Efficiency of B×Time of B
5×12=8×Time of B
60=8×Time of B
Time of B=
8
60

=
2
15

=7
2
1

 days
Thus, B alone takes 7
2
1

days.

Practice this question

Try it yourself before checking the explanation above.

A can do a certain job in 12 days. B is 60% more efficient than A. To do the same job B alone would take:
A
7 \frac{1}{2} days
B
8 days
C
10 days
D
7 days

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