Abhay can do a work in 22 days. Nidhi is 28% more efficient than Abhay. The number of days Nidhi will take to do the same piece of work is:
- A17
16
3
days - B16
17
3
days - C17
16
1
days - D16
17
1
days
Solution & Step-by-step Explanation
Let the efficiency of Abhay be 100.
Since Nidhi is 28% more efficient than Abhay, the efficiency of Nidhi is:
100+28=128
The ratio of efficiency of Abhay to Nidhi is:
E
A
:E
N
=100:128=25:32
We know that efficiency is inversely proportional to the time taken:
T
A
T
N
=
E
N
E
A
22
T
N
=
32
25
T
N
=
32
25×22
=
16
25×11
=
16
275
Converting
16
275
into a mixed fraction:
275=16×17+3
T
N
=17
16
3
days
Since Nidhi is 28% more efficient than Abhay, the efficiency of Nidhi is:
100+28=128
The ratio of efficiency of Abhay to Nidhi is:
E
A
:E
N
=100:128=25:32
We know that efficiency is inversely proportional to the time taken:
T
A
T
N
=
E
N
E
A
22
T
N
=
32
25
T
N
=
32
25×22
=
16
25×11
=
16
275
Converting
16
275
into a mixed fraction:
275=16×17+3
T
N
=17
16
3
days