Question

A can do work in 24 days A and B acn ro the work in 6 days hwo long will B take to do the work
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Answer 1

Answer:

A can complete a work in 24 days

or in 1 day, A will do 1/24th work

Similarly B can complete same work in 30 days

and in 1 day, B will do 1/30th work

Given , for 6 days A work alone

so in 6 days A has completed 6* 1/24 work = 1/4th work

work remaining = 1 - 1/4 = 3/4

now A and B work together

so together in 1 day they will complete (1/24 + 1/30)th work

Taking LCM and solving the part we get 120 as LCM so their 1 day work is 9/120th work or 3/40th work

so total work will be completed in 40/3 days

but in 40/3 days, total 1 work will be completed but we need to complete 3/4th work

therefore, (3/4) * (40*3) = 10 days

so total work will be completed in 6 + 10 = 16 days