joe left a campsite on a trip down the river in a canoe, traveling a 6 km/h. four hours later, joe's father set out after him in a motorboat. The motrboat traveled at 30 km/h. how long after joe's father started did he overtake the canoe? how far had joe traveled down the river when his father overtook him?
Can you set it up the same way, I just showed you in the train question?
To determine how long after Joe's father started he overtook the canoe, we need to find the time it took for Joe's father to catch up with him. We can calculate this by considering the relative speed between the motorboat and the canoe.
Let's start by finding the distance Joe traveled in those four hours. Joe's speed is given as 6 km/h, and he traveled for 4 hours. Using the formula Distance = Speed × Time, we can calculate:
Distance = 6 km/h × 4 hours = 24 km
Therefore, Joe traveled 24 km down the river in those four hours.
Now, let's consider how long it took for Joe's father to catch up with him. The relative speed between the motorboat and the canoe is the difference between their speeds, which is 30 km/h - 6 km/h = 24 km/h.
To find the time, we divide the distance (24 km) by the relative speed (24 km/h):
Time = Distance / Relative Speed = 24 km / 24 km/h = 1 hour
Therefore, it took Joe's father 1 hour after he started to overtake the canoe.
To determine how far Joe had traveled down the river when his father overtook him, we can use Joe's speed (6 km/h) and the time (4 hours) that he traveled before his father started. Using the formula Distance = Speed × Time:
Distance = 6 km/h × 4 hours = 24 km
Therefore, Joe had traveled 24 km down the river when his father overtook him.