Jill takes 2 hours to paint a room, Jim takes 3 hours to paint a room. How long (in minutes) will it take both of them to paint
a room
2 answers:
Answer:
72 minutes
Step-by-step explanation:
The sum of the rates of work in rooms per hour is ...
Jill's rate + Jim's rate
= (1/2 room/hour) +(1/3 room/hour) = (3/6 +2/6 room/hour) = 5/6 room/hour
__
Then the combined rate in hours per room is ...
1/(5/6 room/hour) = 6/5 hours/room = (6/5 hours/room)(60 minutes/hour)
= 72 minutes per room
Jill and Jim can paint the room in 72 minutes when they work together.
Jill will take 120 minutes to paint a room
Jim will take 180 minutes to paint a room
All together Jim and Jill will take 200 minutes to paint a room
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Hope this helps :)