A group of college students is volunteering for Homes for the Community during their spring break. They are putting the finishing touches on a house they built. Working alone, Wade can paint a certain room in 7 hours. Rhonda can paint the same room in 5 hours. How long will it take them working together to paint the room? Round your answer to the nearest hundredth if necessary.
A) 6 hours
B) 17.5 hours
C) 2.92 hours
Answers
Answer: c) 2.92 hrs
Step-by-step explanation:
Work of wade in 1 hr = 1/7
Work of rhonda in 1 hr = 1/5
Work of wade and rhonda together in 1hr = 1/7 + 1/5
= (5 + 7)/35
= 12/35
Time taken by wade and rhonda together to complete the work = 35/12 = 2.92
Answer:
It will take 2.92 hours to paint a room with Wade and Rhonda working together.
GIVEN:
- Time taken by Wade to paint the room is 7 hours
- Time taken by Rhonda to paint the room is 5 hours
TO FIND:
How long will it take them working together to paint the room?
SOLUTION:
So, to find the no. of hours required with them working together to paint a room, first we have to find out the amount of work they can do individually in one hour.
Amount of room Wade can paint in 1 hour =
Amount of room Rhonda can paint in 1 hour =
Amount of room both Wade and Rhonda can paint in 1 hour =
By making common denominator,
=
Amount of room both Wade and Rhonda can paint in 1 hour =
So ,
Time taken to paint part of room by both Wade and Rhonda (in hours)= 1
Time taken to paint 1 part(whole) of room by both Wade and Rhonda(in hours)=
Time taken to paint 1 part(whole) of room by both Wade and Rhonda(in hours)= 2.92
Hence 2.92 hours will be required by both Wade and Rhonda to paint a certain room together.
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Thank you.