Question

X alone can do a piece of work in 15 days and y alone can do it in 10 days. x and y undertook to do it for rs.720. with the help of z they finished it in 5 days. how much is paid to z?

Answer 1

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Answer 2

Answer:

Z's share is Rs.120

Step-by-step explanation:

X can complete work in days = 15

X can do a part of work in 1 day =$\frac{1}{15}$

Y can complete work in days = 10

Y can do a part of work in 1 day = $\frac{1}{10}$

They can do together a part of work in 1 day  =$\frac{1}{15}+\frac{1}{10}$

With the help of Z, they finish the work in 5 days.

With Z 1 day work = $\frac{1}{5}$

So, Z's 1 day work  = $\frac{1}{5}-(\frac{1}{15}+\frac{1}{10})$

                               = $\frac{1}{30}$  

Ratio of their 1 day work =  $\frac{1}{15}: \frac{1}{10}:\frac{1}{30}$

                                       = 2:3:1

Sum of ratios = 2+3+1=6

Z's share = $\frac{1}{6} \times 720$

               = $120$

Hence Z's share is Rs.120