Question

If Romeo can do a job in 3 hrs. and Randy can finish the
same job in 6 hrs. How long would it take them to finish
the work?​

Answer 1

Answer:

It would take them two hours to finish.

Step-by-step explanation:

You can think of this in units of work per hour:

Romeo does 1w/3h

Randy does 1w/6h

so we simply need to add them together to find how much work per hour they can do:

$\frac{1w}{3h} + \frac{1w}{6h} \\= \frac{2w}{6h} + \frac{1w}{6h} \\= \frac{3w}{6h}\\= \frac{1w}{2h}$

So collectively, they can do one job in two hours.