Question

Two trucks are driving to the same place. The first truck starts 50 miles ahead of the second truck and travels at an average speed of 60 miles per hour. The second truck travels at an average speed of 70 miles per hour. Which graph represents this situation and shows the number of hours it will take for the second truck to pass the first truck?

Answer 1

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 $\frac{d-50}{60} = \frac{d}{70}$. 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!