Problema Solution

two men can do a piece of work in 8and9days respectively and earn rs 28/-.with the assistance of 7boys they finish the work in 3days.how should the money be divided

Answer provided by our tutors

we will assume the wages are divided in proportional to the work done


lets x = the days 1 boy needs to finish the job alone


1/8 + 1/9 + (1/x)*7 = 1/3


by solving we find:


x = 72 days


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the total money earned for 3 days will be: 28*3 = rs 84


the first man in 3 days will finish:


3/8 of the job and thus get (3/8)*84 = rs 31.5.


the second man in 3 days will finish:


3/9 = 1/3 of the job and thus get 84/3 = rs 28.


each boy in 3 days will finish:


3/72 = 1/24 and thus get (1/24)*84 = rs 3.5.