Question

A man can complete a job in 12 days and his wife can complete the same in 15 days. how long will they take to complete the job if they work together?

Answer 1

Hey! ! !

Solution :-

☆ MAN : 1/12

WIF : 1/15

MAN + WIFE : 1/12 + 1/15 =3/20,,,. ie 20/3

20/3 means 6 2/3

so ans: 6 2/3

☆ ☆ ☆ Hop its helpful ☆ ☆ ☆

☆ Regards :- ♡♡《 Nitish kr singh 》♡♡

Answer 2

Number of days taken by the man to complete the job = 12 days

His wife can complete the same job in  = 15 days

productivity = total work ÷ time taken

total work =60                                        ( L.C.M of 12 & 15 )

productivity / efficiency of man =$\frac{60}{12}$  = 5 work/ day

productivity / efficiency of woman = $\frac{60}{15}$ = 4 work / day

hence working together they can complete the job =$\frac{60}{9}$ days

                                                                                     = $\frac{20}{3}$ days

Ans :- Working together they can complete the job in $\frac{20}{3}$ days.