Asked by kelvin
A can finish a work in 24 days , B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days.The remaining work was done by A in ? any idea please i used work rate concept but i did not reach to the answer
Answers
Answered by
Reiny
let w represent the work done
A's rate ---- w/24
B's rate ---- w/9
C' rate ----- w/12
B and C's combined rate = w/9 + w/12 = 7w/36
work done by B and C in 3 days
= 21w/36
amount left to be done by A = w - 21w/36 = 15w/36
time for A to finish the job
= (15w/36) / (w/24
= (15w/36)(24/w) = 10 hours
A's rate ---- w/24
B's rate ---- w/9
C' rate ----- w/12
B and C's combined rate = w/9 + w/12 = 7w/36
work done by B and C in 3 days
= 21w/36
amount left to be done by A = w - 21w/36 = 15w/36
time for A to finish the job
= (15w/36) / (w/24
= (15w/36)(24/w) = 10 hours
Answered by
kelvin
it will be 10 days or 10 hours @ reiny
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