3 men finish painting a wall in 8 days. Four boys do the same job in 7 days. In how many days will 2 men and 2 boys working together paint two such walls of the same size?
a) 6 6/13 days
b) 3 3/13 days
c) 9 2/5 days
d) 12 12/13 days
Submitted by: Administrator3 men -> 8 days
as men decrease => days increase
=> 1 man ->24 days =>1 man's 1 day work = 1/24
4 boys -> 7 days
=> 1 boy ->28 days => 1 boy's 1 day work = 1/28
so 2 men + 2 boys 1 day work = 2/24 + 2/28 = 1/12+ 1/14 = 13/84
so 2men + 2boys finish 13/84 of work in 1 day
so days to finish total work = 84/13 i.e 6 6/13
Submitted by: Administrator
as men decrease => days increase
=> 1 man ->24 days =>1 man's 1 day work = 1/24
4 boys -> 7 days
=> 1 boy ->28 days => 1 boy's 1 day work = 1/28
so 2 men + 2 boys 1 day work = 2/24 + 2/28 = 1/12+ 1/14 = 13/84
so 2men + 2boys finish 13/84 of work in 1 day
so days to finish total work = 84/13 i.e 6 6/13
Submitted by: Administrator
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