A and B working together can mow a field in 56 days and with the help of C they could have mowed it in 42 days.

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asked May 15 in Class VIII Maths by muskan15 (-3,360 points)

A and B working together can mow a field in 56 days and with the help of C, they could have mowed it in 42 days. How long would C take by himself ?

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answered May 15 by priya12 (-12,269 points)

(A + B) can mow a field in = 56 days

(A + B + C) can mow a field in = 42 days

∴ (A + B)’s 1 day work = 1/56

(A + B + C)’s 1 day work = 1/42

C’s 1 day work = 1/42 – 1/56

= (4 – 3)/168

= 1/168

L.C.M = 2 × 7 × 3 × 4 = 168

∴ C can do the work in = 168 days

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