Joe Spout left a campsite on a trip down the river in a canoes, traveling at 6km/h. Four hours later, Joe's father set out after him in a motorboat. The motorboat traveled at 30km/h. How far had Joe traveled down the river when his father overtook him?
How do I write this as an equation?
they to the same distance, with four hours time difference.
distanceJoe=6*t
distancdDad=30(t-4)
set the distances equal, solve for time t.
then solve for distance.
So how do I write it as one single equation?
I know the time is one hour.
To solve this problem, we can use the equation:
Distance = Speed × Time
Let's break down the information provided in the problem:
1. Joe's speed in the canoe: 6 km/h
2. Joe's father's speed in the motorboat: 30 km/h
Next, we need to consider the time it took for Joe's father to overtake him. We know that Joe's father set out 4 hours after Joe left the campsite.
Now, let's assume that Joe traveled for a certain amount of time until he was overtaken by his father. We'll call this time "t" (in hours).
From the information given, we know that Joe traveled for t hours at a speed of 6 km/h, so the distance he covered is 6t km.
Joe's father, on the other hand, traveled for (t - 4) hours at a speed of 30 km/h. So, the distance Joe's father covered is 30(t - 4) km.
Since we're looking for the distance traveled by Joe when his father overtakes him, we can set up the equation:
Distance traveled by Joe = Distance traveled by Joe's father
6t = 30(t - 4)
This equation represents the distance Joe traveled down the river when his father overtook him. To find the exact value of t, you can solve this equation.