1man or 2women or 3 boys can do a piece of work in 44 days then the same work piece of work was done by 1 men one women and one boy in how many days
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132 days 1 men complete the work
ayushman18:
no
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Days taken to complete a work by1man = 2 women= 3 boys = 44 days
Let x be the time taken by 1 man or 2 women or 3 boys
Rate of work by 1 man = 1/44
Rate of work by 1 women = 1/(2*44) = 1/88
Rate of work done by 1 boy = 1/(3*44) =1/132
1/44x+1/88x+1/132x = 1
3x+1.5x+1x/132 = 1
⇒5.5x=132
x= 24 days...
∴The no. of days taken by 1 man 1 women or 1 boy would be 24 days...
Hope it helps... :)
Let x be the time taken by 1 man or 2 women or 3 boys
Rate of work by 1 man = 1/44
Rate of work by 1 women = 1/(2*44) = 1/88
Rate of work done by 1 boy = 1/(3*44) =1/132
1/44x+1/88x+1/132x = 1
3x+1.5x+1x/132 = 1
⇒5.5x=132
x= 24 days...
∴The no. of days taken by 1 man 1 women or 1 boy would be 24 days...
Hope it helps... :)
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