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Let x be the number of hours it takes John to paint the room alone.
From the given information:
John + Rick + Molly = 1/5 (their combined rate)
1/x + 1/10 + 1/14 = 1/5
Solving the equation:
1/x + 1/10 + 1/14 = 1/5
1/x = 1/5 - 1/10 - 1/14
1/x = 14/70 - 7/70 - 5/70
1/x = 2/70
x = 35
It will take John 35 hours to paint the room alone.