A and B together can complete a work in 3 days. They started together but after 2 days, B left the work. If the work is completed after 2 more days, Balone could do the work in how many days?

Options

A. 10 days / 10 दिन
B. 4 days / 4 दिन
C. 6 days / 6 दिन
D. 8 days / 8 दिन

Answer

C

Explanation

`A_(e)+B_(e)=(1)/(3)`
`therefore 2(A_(e)+B_(e))=(2)/(3)`
शेष कार्य `=1-(2)/(3)=(1)/(3)`
`because (1)/(3)` कार्य पूरा करता है A 2 दिन में
`therefore 1` कार्य पूरा करता है `A 2xx3` दिन में
= 6 दिन में
i.e. `A_(e)=(1)/(6)`
`because A_(e)+B_(e)=(1)/(3)`
`implies (1)/(6)+B_(e)=(1)/(3)impliesB_(e)=(1)/(3)-(1)/(6)=(2-1)/(6)=(1)/(6)`
अतः B अकेले उस कार्य को दिनों में 6 पूरा करेगा।