Martha can paint a room in 2 hours. 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?

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 =

Work done by Jamie in 1 hour =

Work one together in 1 hour =  

Now take common denominator to add both fractions

LCD = 6, Multiply the first fraction by 3

Now add the numerators

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

Time taken to paint together =

It will take 1.5 hours to paint the room together

The nearest tenth of an hour, will it take them to paint the room together is 1.5 hours.

Given data:

Time taken by Martha to paint a room is, 2 hours.

Time taken by Jamie to pain the same room is, 6 hours.

Then work done by each of Martha and Jamie in 1 hour is given as,

Total work done in 1 hour is given as,

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

Then, time taken to paint together is, 3/2 = 1.5 hours.

Thus, we can conclude in the nearest tenth of an hour, will it take them to paint the room together is 1.5 hours.

To learn more about it, please refer to the link:

link

answer: b

step-by-step explanation: