P does a work in 12 days for 8 hours and Q does a work in 8 days for 10 hours. If both work for 8 hours then how many days it needed to complete the work?
(Work & Time)

Created: 1 year ago | Updated: 1 year ago

Updated: 1 year ago

P can do the complete work in = 12x8 = 96 hours.

$∴$ AQ can do the complete work in = 8 x 10 = 80 hours.

In 1 hour P can $\frac{1}{96}$ part of the work

and In 1 hour Q can do $\frac{1}{80}$ of the work

$∴$ (P + Q) can do in 1 hour = $\frac{1}{96} + \frac{1}{80} = \frac{5 + 6}{480} = \frac{11}{480}$ part of the work

$∴$ (P + Q) can do in 8 hour = $\frac{8 \times 11}{480} = \frac{11}{60}$ part of the work

$\frac{11}{60}$ 1 of the work is done in = $\frac{60}{11} = 5 \frac{5}{11}$ day.

1 year ago

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