Sofia can type the work in 10 hours. nova can do it in 15 hours. they work together for 4 hours, then sofia and nova finish the job. how long did it take to do the entire job?

2 days.

Step-by-step explanation:

Let, Sofia can type the x amount of work in 10 hours.

So, in one hour Sofia can type amount of work.

Again, Nova can type x amount of work in 15 hours.

So, in one hour Nova can type amount of work.

Hence, if they work together, they can type amount of work in one hour.

Therefore, working together they can type the x amount of work in days.

So, they have to work for (6 - 4) = 2 days more to finish the work. (Answer)

Sofia and Nova together completes the work in 6 hours.

SOLUTION:

Given, Sofia can type the work in 10 hours.  

Nova can do it in 15 hours.  

They work together for 4 hours, then Sofia and Nova finish the job.  

We have to find time taken to do the entire job

Now, work done by Sofia in 1 hour

And work done by Nova in 1 hour

Then, when they are together, work done in 1 hour

So,

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: