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Let, in x, y and z time A, B and C completed the work respectively
Then, one day work of A = 1/x, B = 1/y and C = 1/z
ATQ :
1/y + 1/z = 3/x ... (1)
1/x + 1/z = 4/y .... (2)
1/x + 1/y + 1/z = 1/24 .... (3)
On solving the equations :
From equation (1) and (3)
1/x + 3/x = 1/24
=> 4/x = 1/24
=> x = 24×4 = 96
So, A will complete the whole work in 96 days. ✔✔
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Hope it helps ☺
Fóllòw Më ❤
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Step-by-step explanation:
Let time taken by B and C = x days
∴ Time taken by A = 3x days
∴ Part of work done by A, B and C in 1 day
=1x+13x=3+13x=43x∴43x=124⇒3x=4×24⇒x=4×243=32days
∴ Time taken by A = 32 × 3 = 96 days.
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