Maya and Reginald are installing hardwood flooring. Maya can install flooring in a room in 4 hours. Reginald can install flooring in a room in 3 hours. How long would it take them if they worked together?

1 hour 42 minutes approx

Step-by-step explanation:

Given data

Mayas work rate= 1/4 room per hour

Reginald work rate= 1/3 room per hour

Let the total time taken for both of them be T

Hence their combined work rate

1/4+1/3= 1/T

3+4/12=1/T

7/12=1/T

T= 12/7

T= 1.7 hours

Hence it will take them 1 hour 42 minutes approx