QuestionAllen traveled for 7 hours at 40 mph. How long did Anna take at 50 mph? Set up: $7(40)=x(50)$ . Find $x$ .

Studdy Solution

STEP 1

Assumptions1. Allen traveled for7 hours at a constant rate of40 miles per hour. . Anna traveled the same distance at a constant rate of50 miles per hour.
3. We need to find the time it took for Anna to travel the same distance as Allen.

STEP 2

We can use the formula for distance, which is distance equals rate times time. Since the distance is the same for both Allen and Anna, we can set up the following equation $7 \times40 = x \times50$ where $x$ is the time it took for Anna to travel.

STEP 3

Now, we need to solve the equation for $x$ . We can do this by dividing both sides of the equation by50.
$x = \frac{7 \times40}{50}$

STEP 4

Calculate the value of $x$ .
$x = \frac{7 \times40}{50} =.6$ So, it took Anna.6 hours to travel the same distance as Allen.

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