Question

13. P can complete a work in 12 days working 8 hours a day, Q
can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how
many days can they complete the work?
ute
(a) 5 (b) 5 (0)6 (d) 6.​

Answer 1

Answer:

5 5/11 days

Step-by-step explanation:

P can complete a work in 12 days working 8 hours a day.

Q can complete the same work in 8 days working 10 hours a day.

Calulate for 8 hours a day.

Totally worked for 8 * 10 = 80 hours

For 1 hour a day = 80 / 1 = 80 days

For 8 hour a day = 80 / 8 = 10 days

$\frac{1}{10} + \frac{1}{12} = \frac{11}{60}$

They can complete a work together in 60/11 or 5 5/11 days if work for 8 hours a day

(0r)

Convert everything to hours

$\frac{1}{12 \times 8} + \frac{1}{8 \times 10} = \frac{1}{8} ( \frac{1}{12} + \frac{1}{10} ) = \frac{1}{8} ( \frac{11}{60} )$

They can complete a work together in 60/11 or 5 5/11 days if work for 8 hours a day