Ryan left. Gabby left 3 hrs later, she drove 42mph faste. In 2 hrs she caught up. What was Ryan speed
add it up
S=42x2=84
so we get the total mph that both ryan and gabby go and the total hour that ryan drove is 5 hours
the ryan speed is V= S/t= 84/5=16.8
Gabby drove t-3 hours
she drove 2 hours
so t-3 = 2 and Ryan drove 5 hours
D = Ryan speed * 5
D = Gabby speed * 2
so 5 R = 2 G
but
G = R+42
so
5 R = 2(R+42)
3 R = 84
R = 84/3 = 28
HUY - The DIFFERENCE is 42
To find Ryan's speed, we can use the concept of relative speed. Relative speed is the difference in speeds between two moving objects.
Let's break down the information given in the question:
1. Ryan left.
2. Gabby left 3 hours later.
3. Gabby drove 42 mph faster than Ryan.
4. In 2 hours, Gabby caught up to Ryan.
Now, we can deduce the following:
- Since Gabby caught up to Ryan after 2 hours, it means that she covered the same distance as Ryan did in those 2 hours.
- Since Gabby drove 42 mph faster than Ryan, we can calculate her speed as (Ryan's speed + 42 mph).
Now, let's proceed with finding Ryan's speed.
Step 1: Calculate Gabby's speed
Since Gabby caught up to Ryan in 2 hours, and she drives 42 mph faster, we can set up the following equation:
Distance covered by Gabby = Gabby's speed * Time taken
Distance covered by Ryan = Ryan's speed * Time taken
Since both distances are the same, we have:
(Gabby's speed) * 2 = (Ryan's speed) * 2
Gabby's speed = Ryan's speed + 42 mph
Substituting the equation for Gabby's speed, we get:
(Ryan's speed + 42 mph) * 2 = Ryan's speed * 2
Simplifying the equation:
2 * (Ryan's speed) + 84 mph = 2 * (Ryan's speed)
2 * (Ryan's speed) - (Ryan's speed) = 84 mph
Ryan's speed = 84 mph
Therefore, Ryan's speed is 84 mph.