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No one knows everything, but everyone knows something. With Brainly, students combine their strengths and talents to tackle problems together.
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Step-by-step explanation:
Let Nishu take x days to complete the work alone.
∴ Total work done by Nishu in 1 day = 1x
Also, Pintu takes (x + 6) days to complete the work alone.
∴ Total work done by Pintu in 1 day = 1x+6
Total work done by both in 1 day = (1x + 1x+6)
But, both take 4 days to complete the work together.
∴ Total work done by both in 1 day = 14
∴ 4(2x + 6) = x(x + 6)
∴ 8x + 24 = x2 + 6x
∴ x2 + 6x – 8x – 24 = 0
∴ x2 – 2x – 24 = 0
∴ x2 – 6x + 4x – 24 = 0
∴ x(x – 6)+ 4(x – 6) = 0
∴ (x – 6) (x + 4) = 0
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