One maid can clean the house in 4 hours. Another maid can do the job in 8 hours. How long will it take them to do the job working together?
A) 8 hours

B) $2 \frac{2}{3}$ hours

C) $\frac{1}{12}$ hours

D) $\frac{1}{32}$ hours

Question

One maid can clean the house in 4 hours. Another maid can do the job in 8 hours. How long will it take them to do the job working together?
A) 8 hours

B) $2 \frac{2}{3}$ hours

C) $\frac{1}{12}$ hours

D) $\frac{1}{32}$ hours

Quizplus · Accepted Answer

Working together, the maids can clean the house in $2 \frac{2}{3}$ hours. The first maid's rate is $1/4$ of the house per hour, and the second maid's rate is $1/8$ of the house per hour. Combined, they clean $(1/4 + 1/8) = 3/8$ of the house per hour. To find the time taken, divide 1 (the whole house) by 3/8, which equals $2 \frac{2}{3}$ hours.

One Maid Can Clean the House in 4 Hours 2232 \frac{2}{3}232​

One Maid Can Clean the House in 4 Hours $2 \frac{2}{3}$