16 men can do a piece of work in 16 days. 4 days after they started the work, eight more men joined them. How many days will they take now to complete the work?
Answer::
fraction of total work done by 16 men = 4/16 = 1/4
fraction of work remaining = 1 - 1/4 = 3/4
now 16 men can do a work in 16 days
so, 24 men will do the work in = 16 x (16/24) = 32/3 days
So, in 1 day work done by 24 men = 3/32 work
so, 3/4 work will be done in (32/3) x (3/4) = 8 days
Answer::
fraction of total work done by 16 men = 4/16 = 1/4
fraction of work remaining = 1 - 1/4 = 3/4
now 16 men can do a work in 16 days
so, 24 men will do the work in = 16 x (16/24) = 32/3 days
So, in 1 day work done by 24 men = 3/32 work
so, 3/4 work will be done in (32/3) x (3/4) = 8 days
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