A and B finish a work in 5 and 6 days respectively. they start together and earn 2200rp. find the B labour charge
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A & B working together do work in 6 days.
A takes 5 days less than B.
Let B takes x
A=x−5
1 / x + 1 / x- 5 = 1/6
x−5+x / x^2 - 5x = 1/6
12x−30=x ^2-5x
x^2-17x+30=0
x ^2 −15x−2x+30=0
x(x−15)−2(x−15)=0
(x−2)(x−15)=0
⇒x=2 or x=15
As, x<5 so x=15
then A=10 days &B=15 days
Hence, the answer is 10,15days.
hope it helps
tq.........../////////
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