Question

kent can paint a room in 6 hours, but kendra needs 4 hours to paint the same room. how many hours does it take them to paint the room if they work together? round to the nearest tenth.

Answer 1

Answer: 2.4 hours

Explanation:

Kent's work rate: 1/6 rooms per hour

Kendra's work rate: 1/4 rooms per hour

Now, add their work rates together to find their combined work rate:

Combined work rate = Kent's work rate + Kendra's work rate

Combined work rate = 1/6 + 1/4 = 5/12 rooms per hour

Time (hours) = 1 room / Combined work rate

Time (hours) = 1 / (5/12)

Time (hours) = 12/5 = 2.4 hours

So, it takes Kent and Kendra approximately 2.4 hours to paint the room together when rounded to the nearest tenth of an hour.