Question #6c6cc
1 Answer
1.5 Hours
Explanation:
The best way to tackle this problem is to create a system of equations to model the scenario. Let's start by creating Bob's equation. We want an equation for his distance in terms of time spent (hours), so:
But, since Sharon is letting him have a lead of half an hour, we need to know how far ahead Bob is before Sharon starts. Using the equation above and plugging in 0.5 for
Now, let's create an equation for Sharon's distance in terms of time spent (hours):
Now we set these two equations equal to each other, since we know when they catch up with each other their distances traveled (from when Sharon starts) will be equal, so:
Hope this helped!