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Question:  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




September 09, 2006 16:28:40 #3
 mandar dindorkar   Member Since: Visitor    Total Comments: N/A 
RE: 3 men finish painting a wall in 8 days. Four boys ...
 

3 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

     

 

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