sah can paint a house in 4 hours mat use 6 hours,how long will it take both of them to paint a house together?

Question

i wont my answer to be in detail which step by step

Answer 1

do your own homework

Answer 2

You want to use a common equation. The equation you use here is Rate x Time = Work

Let's use A to represent Sah's rate of work and B to represent Mat's rate of work.

First solve for the rate of each:

A x 4 hours = 1 house
A = 1 house/4 hours

B x 6 hours = 1 house
B = 1 house/6 hours

Now we want to know the time it will take both of them working together. So the time it takes both will be the same when they are working together. We'll call the time it takes both of them together T.

(A x T) + (B x T) = 1 house
(1/4 x T) + (1/6 x T) = 1 house

Now since both are multiplied times T we can rearrange the equation to look like this:

(1/4 + 1/6) x T = 1 house

Now to add the fractions together we have to get a common denominator.

(3/12 + 2/12) x T = 1 house
5/12 x T = 1 house

Now we solve for T by dividing 1 by 5/12ths, which is the same as multiplying by the inverse of that fraction (12/5).

T = 1 x 12/5
T = 12/5
T = 12/5 = 2.4 hours = 2 hours and 24 minutes

How you come up with 2.4:
12 divided by 5 = 2.4

How you come up with 24 minutes:
0.4 hours x 60 minutes/hour = 24 minutes

Answer 3

If you want "your" answer in detail..then YOU answer the question.