Question

It takes Valentina 16 days to build a chubby house. If she and peter work together, they can finish building a Chubb house in 15 days. Find the number of days, h, that it will take Peter to build a Chubby house by himself.

Answer 1

240 days

Explanation:

Valentina's rate of construction is 1/16 house per day. Peter's rate of construction is 1/h house per day. Their total rate of construction is 1/15 house per day:

1/16 + 1/h = 1/15

1/h = 1/15 -1/16 = 1/(15·16) = 1/240 . . . . subtract 1/16

h = 240 . . . . . . . . . . multiply by 240h

It will take Peter 240 days to build a Chubby house by himself.