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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
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Since Yathu can paint a living room in 6 hours, he paints of the living room area in one hour. It is his rate.
The Mazhahir paints of the living room area in one hour.
If the two painters work together, they paint = = = of the room area per hour.
(When the painters work together, their rates add up.)
Hence, they need = 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.