Answer:
1.6 hours
Step-by-step explanation:
first lets go over what we know...
- In total Tito will finish in 2 hours
- Dev will finish in a whopping 8 hours.
Then, we should think about how much work they can each do in 1 hour...
- Tito will do 1/2 of the work
- Dev will do 1/8
Now, we have to think about it in terms of x
- Tito will do x/2 of the work
- Dev will do x/8
(do you see the pattern yet?)
Now we write an equation using x... it will look like this...
x/2 + x/8 = 1
(the one stands for 1 hour)
Find the common denominator (8) and multiply...
4x/8 + x/8 = 4x+x / 8 = 5x/8
Now we do 5x/8 = 1...
5x/8 = 1 ---> 5x/8 * 8 (to get rid of fraction) = 1*8 (we have to what we do to one side to the other remember that!!) ---> 5x = 8 ---> (divide both by the number of x's) 5x/5=x and 8/5 = well.. 8/5.
NOW FINALLY... WE HAVE OUR ANSWER!!! x= 8/5 = 1 3/5= 1.6 (hours)