Question

It's 39 miles from Ayville to Bravo City. It's another 100 miles from Bravo City to Charlwoods. Patrick drives 20 miles faster from Bravo City to Charlwoods than from Ayville to Bravo City. If his combined travel time is 3.3 hours, what are his average speeds?

Speed from Ayville to Bravo City
Speed from Bravo City to Charlwoods:

Answer 1

It's 495 miles from Alpha City to Bravoville. It's another 180 miles from Bravoville to C- town. Nina drives 10 miles faster from Bravoville to C-town than from Alpha City to Bravoville. If her combined travel time is 12.9 hours, what are her average speeds? Speed from Alpha City to Bravoville: Speed from Bravoville to C-town: Submit Question

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Answer 2

Explanation:

To find Patrick's average speeds, we can use the formula:

Average Speed = Total Distance / Total Time .

Let's calculate the average speed from Ayville to Bravo City first:

Distance from Ayville to Bravo City = 39 miles .

Time taken from Ayville to Bravo City = x hours .

We can use the formula Speed = Distance / Time to find Patrick's speed from Ayville to Bravo City:

Speed from Ayville to Bravo City = 39 miles / x hours .

Next, let's calculate the average speed from Bravo City to Charlwoods:

Distance from Bravo City to Charlwoods = 100 miles .

Time taken from Bravo City to Charlwoods = x + 20 miles .

Since Patrick's combined travel time is 3.3 hours, we can set up the equation:

→ x + (x + 20) = 3.3 .

Simplifying the equation:

→ 2x + 20 = 3.3 .

→ 2x = 3.3 - 20 .

→ 2x = -16.7 .

→ x = -16.7 / 2 .

→ x = -8.35 .

Since speed cannot be negative, we can discard the negative value of x.

Therefore, there is no valid solution to this problem.