Question

Aadi can do a piece of work in 12 days alone, Bunny can do the same work in 16 days alone. After Aadi has been working for 5 days and Bunny for 7 days, Charan finishes it in 14 days. In how many days will Charan alone be able to do the work?
A) 96 days
B) 48 days
C) 24 days
D) 12 days

Answer 1

Hey.


Here is the answer.


Aadi can do the work alone in 12 days

so, in one day Aadi can do 1/12 work


Bunny can do the work in 16 days

so, in one day Bunny can do 1/16 work


Let number of days in which Charan can do the same work alone is 'd' days.

According to the given data,

5/12 + 7/16 + 14/d = 1

or, 14/d = 1 - (5/12 + 7/16)

or, 14/d = 1 - (20+21)/48

or, 14/d = (48 - 41)/48

or, 2/d = 1/48

or, d = 2×48 = 96 days

 

Therefore, Charan alone can complete the work in 96 days.


Answer : (A)


Thanks

Answer 2

Heya there !

Option A is correct, for solution, see the attachment !

Thank you