4 men and 6 boys can finish a piece of work in 20 days while 3 men and 4 boys can
finish in 28 days. Find the time taken by one man alone and by one boy alone to
finish the work.
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Step-by-step explanation:
4x + 6y = 20 -----(1)
3x + 4y = 28 -----(2)
(1) x 3
(2) x 4
we get,
12x + 18y = 60 ----- (3)
12x + 16y = 112 ----(4)
(4) - (3)
-2y = 52
y = -26
substitutuing y = - 26 in (3)
12x + 18(-26) = 60
12x - 468 = 60
12x = 528
x = 528/12 = 44
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