This is a DRT (Distance, Rate, Time) problem. So, we can set up a table to get our answer. Our table should look something like this:
D R T
Slow Truck d-50 60 t
Fast Truck d 70 t
Now that we have set up our table, we can use the values to find the answer. Starting off, we can use the rule T = D/R to get the equation [tex] \frac{d-50}{60} = \frac{d}{70} [/tex]. Now, we can simply solve for d, which can be done by cross multiplying and simplifying. After we do that, we can get that d = 350. Then, we can use the formula T = D/R, as stated previously, to substitute the rate and distance, which gives us t = 350/70. Simplifying that, we can get t = 5. Therefore, the time it takes for the second truck to pass the first truck is 5 hours. Hope this helped and have a fabulous day!
