Several cows from a Caribou Herd took 4 days longer to travel 70km to Forde Lake, than it took them to travel 60km north beyond forde lake.They averaged 5km/h less before Forde lake because the foraging was better. What was their average speed for the part beyond forde lake?

been there, done that see below

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Yes, it is a quadratic equation

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To find their average speed for the part beyond Forde Lake, we can use the formula:

Average Speed = Total Distance / Total Time

Let's break down the information given:

1. The cows took 4 days longer to travel 70km to Forde Lake than it took them to travel 60km north beyond Forde Lake.

This means the cows took the same amount of time for the 60km north beyond Forde Lake and the 70km to Forde Lake, plus an additional 4 days for the latter.

2. They averaged 5km/h less before Forde Lake because the foraging was better.

This information tells us that the cows traveled at a speed 5km/h slower for the part before Forde Lake.

Now, let's calculate the average speed for the part beyond Forde Lake:

Step 1: Calculate the time taken to travel 60km north beyond Forde Lake.
We can assume the time taken to travel this distance is 't' hours.

Step 2: Calculate the time taken to travel 70km to Forde Lake.
The time taken for this distance is 't + 4' hours, as the cows took an extra 4 days.

Step 3: Calculate the average speed for the part before Forde Lake.
The average speed for this distance can be calculated using the formula:

Average Speed = Distance / Time

Let's say the average speed for the part before Forde Lake is 'v' km/h. Using the information given, we have:

v = (70 km) / (t + 4) hours

Step 4: Calculate the average speed for the part beyond Forde Lake.
Since the average speed is related to distance and time, we can write:

Distance = 60 km (for the part beyond Forde Lake)
Time = t hours (for the part beyond Forde Lake)
Speed = Distance / Time

Average Speed beyond Forde Lake = 60 km / t hours

Therefore, the average speed for the part beyond Forde Lake is 60/t km/h.

To summarize, the cows' average speed for the part beyond Forde Lake is 60/t km/h.