ryan left the science museum and drove south
gabriel left three hours later driving 42mph faster in s effort to catch up.
after 2 hours gabriel finally caught up. find ryans speed
To find Ryan's speed, let's break down the information given.
1. Ryan left the science museum and drove south.
2. Gabriel left three hours later, driving 42 mph faster in an effort to catch up.
3. After 2 hours, Gabriel finally caught up to Ryan.
Let's assume that Ryan's speed is represented by "r" mph. Since Gabriel drove for 2 hours less than Ryan (3 hours later less 1 hour), we can calculate Gabriel's speed as "r + 42" mph.
Now, let's set up an equation to represent the distance covered by Ryan and Gabriel. Remember, distance = speed x time.
Distance covered by Ryan = Distance covered by Gabriel
We know that Ryan drove for 2 hours longer than Gabriel, so the time traveled by Ryan is (2 + 2) = 4 hours, while Gabriel drove for 2 hours.
Now we have:
Ryan's distance = Gabriel's distance
(r mph) x (4 hours) = (r + 42 mph) x (2 hours)
Simplifying the equation:
4r = 2(r + 42)
4r = 2r + 84
4r - 2r = 84
2r = 84
r = 84 / 2
r = 42 mph
Therefore, Ryan's speed is 42 mph.