Martha can paint a room in 2 hours


Asked by maham237 @ in Mathematics viewed by 322 People


Jamie can paint the same room in 6 hours. How long, to the nearest tenth of an hour, will it take them to paint the room together?

Answered by maham237 @



Answer:

It will take 1.5 hours to paint the room together

Step-by-step explanation:

Martha can paint a room in 2 hours. Jamie can paint the same room in 6 hours.

Work done by Martha in 1 hour = \frac{1}{2}

Work done by Jamie in 1 hour = \frac{1}{6}

Work one together in 1 hour = \frac{1}{2}+\frac{1}{6}

Now take common denominator to add both fractions

LCD = 6, Multiply the first fraction by 3

\frac{1*3}{2*3}+\frac{1}{6}

\frac{3}{6}+\frac{1}{6}

Now add the numerators

\frac{4}{6}

\frac{2}{3}

To find total hours of painting together, we take reciprocal of 2/3

Time taken to paint together = \frac{3}{2}= 1.5

It will take 1.5 hours to paint the room together


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