A and B can finish a piece of work in 6 days and 4 days respetively. A stared work after 2 days, B also joined the work. find the total time taken to finish the work ?
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Answer:
8/5 days
Step-by-step explanation:
Lets assume total work is T
In one day A will do T/6 while B will do T/4
Since A can finish the work in 6 days while B in 4 days working alone
In 2 days, A alone would finish 2*T/6 = T/3 work
remaining work is T- T/3 = 2T/3 will be done by both A and B together
A + B together can do T/6+T/4 = 2T/12 + 3T/12 = 5T/12 of the work
So time taken by them for the remaining work is
Work remaining/ (5T/12) = 2T/3 % 5T/12 = 8/5 Days
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