David can finish painting the room in six hours and his elder brother Anthony can finish it in four hours if both brothers paint the room together how many hours will it take them and how many minutes

Respuesta :

Answer:

2.4 hours

Step-by-step explanation:

David's time = 6 hours

Anthony's time = 4 hours

the combined time is given by the following formula

1/ (david's time) + 1/(anthony's time) = 1/total time

1/6 + 1/4 = 1/Total

4/24 + 6/24 = 1/Total

10/24 = 1/ total   (taking reciprocal of both sides)

24/10 = total

total time = 24/10 = 2.4 hours