SOLUTION: A can build a room in 50 days. A & B together can build a room in 25 days. They worked together for 15 days and then B goes away. In how many days will A complete the remaining w

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A can build a room in 50 days. A & B together can build a room in 25 days. They worked together for 15 days and then B goes away. In how many days will A complete the remaining w      Log On


   

Question 943905: A can build a room in 50 days. A & B together can build a room in 25 days. They worked
together for 15 days and then B goes away. In how many days will A complete the remaining
work?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
A builds 1 room in 50 days=1 room/50 days=1/50 room/day
A+B build 1 room in 25 days=1 room/25 days=1/25 room/day
In 15 days A+B build: 15 days(1/25 room/day)=15/25 of the room
This leaves 10/25 or 20/50 of the room for A to complete alone
(20/50 room)/((1/50 room/day)=20 days ANSWER It would take A 20 more days to complete the room alone.