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ValentinkaMS [17]
3 years ago
5

If Joanne can paint a room in 3 hours and her sister Angela can paint the same room in 4 hours, how long (in h) would it take Jo

anne and Angela to paint the room working together? Round to the nearest tenth.
Mathematics
1 answer:
Gala2k [10]3 years ago
7 0

Answer:

Step-by-step explanation:

If J can paint a room in 3 hours, in 1 hour she gets \frac{1}{3} of the job done.

If A can paint a room in 4 hours, in 1 hour she gets \frac{1}{4} of the job done. We need to find out how long it takes them if they paint together. The equation for this is:

\frac{1}{3}+\frac{1}{4}=\frac{1}{x} where x is the number of hours it takes them to get the job done together. Multiply everything through by 12x to get

4x + 3x = 12 so

7x = 12 and

x = 1.7 hours to get the room painted together.

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