Math, asked by ASTROxNINJA, 5 months ago

P alone can complete a work in 8 days and Q alone in 6 days. P and Q with the help of R completed the
work in 3 days. In how many days can R alone do the work?​

Answers

Answered by itsmathsnerd
6

Answer: R alone can do work in 24 days

Step-by-step explanation:

Time required by P = 8 days

Work completed in 1 day = 1/8

Time required by Q = 6 days

Work completed in 1 day = 1/6

Let the time required by R be x

Work completed in 1 day = 1/x

Days required totally = 3 days

Work completed each day = 1/3

1/8 + 1/6 + 1/x = 1/3

(6x + 8x + 48)/48x = 1/3

14x + 48 = 16x

16x - 14x = 48

2x = 48

x = 24

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