Kathleen can paint a room in 3 hours, and Anthony can paint an identical room in 5 hours. How many hours would it take Kathleen and Anthony to paint both rooms if they work together at their respective rates?  Choose the correct option
A) 8/15 B) 4/3 C) 15/8 D) 9/4 E) 15/4
kat---3 hrs---1 room ; so rate is work/time= 1/3   Anthony---5 hrs---1 room ; rate= 1/5   rate of kat and anthony together=1/3+1/5 = 8/15   But we are told that they both paint 2 rooms which are identical.   So; Work is 2 rooms, rate is 8/15,   total time required for both of them together to complete the work = 2/(8/15)= 30/8= 15/4   Hence Answer= 15/4
<result>E</result>
Kathleen can paint a room in 3 hours, and Anthony can paint an identical room in 5 hours. How many hours would it take Kathleen and Anthony to paint both rooms if they work together at their respective rates?