SOLUTION: If Yathu was to paint a house by himself,he would take 6 hour.if Mazhahir was to paint a house by himself,he would tack it 10 hours .how long did both of them take to paint the hou

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If Yathu was to paint a house by himself,he would take 6 hour.if Mazhahir was to paint a house by himself,he would tack it 10 hours .how long did both of them take to paint the hou      Log On


   



Question 1031410: If Yathu was to paint a house by himself,he would take 6 hour.if Mazhahir was to paint a house by himself,he would tack it 10 hours .how long did both of them take to paint the house together
Answer by ikleyn(52943) About Me  (Show Source):
You can put this solution on YOUR website!
.
If Yathu was to paint a house by himself, he would take 6 hour. If Mazhahir was to paint a house by himself,
he would tack it 10 hours. How long did both of them take to paint the house together
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Since Yathu can paint a living room in 6 hours, he paints 1%2F6 of the living room area in one hour. It is his rate.

The Mazhahir paints 1%2F10 of the living room area in one hour.

If the two painters work together, they paint 1%2F6+%2B+1%2F10 = 5%2F30+%2B+3%2F30 = 8%2F30 = 4%2F15 of the room area per hour. 
(When the painters work together, their rates add up.)

Hence, they need 15%2F4 = 33%2F4 hour = 3 hours and 45 minutes to complete the job, if they work together.


It is a typical problem on joint work.

For a variety of similar solved joint-work problems see the lesson 
Using fractions to solve word problems on joint work in this site, 
and also associated lessons.