Kathleen can paint a room in 3 hours, and Anthony can paint an identical room in 5 hours.
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?
Answer/Solution
15/4
Steps/Work
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= E
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= E