Question

Allen traveled for 7 hours at a constant rate of 40 miles per hour. Anna traveled the same distance at a constant rate of 50 miles per hour.

How long did it take Anna to travel the same distance as Allen?

Drag the steps in the correct order to solve the problem.

Set up. 7 (40) = x (50)
Identify. Anna's time is the unknown.
Stragtegize. Let x = Anna's time.
Solve. x = 5.6

Answer 1

1) Identify. Anna’s time is the unknown.

2) Strategize. Let x = Anna’s time.

3) Set up. 7 (40) = x (50)

4) Solve. X = 5.6

5) Check. 7 (40) = 5.6 (50)

Explanation:

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Answer 2

1) Identify. Anna's time is the unknown.

The question in this case is asking how long it takes Ana to travel the same distance as Allen.

Therefore, Ana's time is the unknown.

2) Stragtegize. Let x = Anna's time.

For this case, the first thing we must do is define a varible:

x: Time it takes Ana to travel the distance

3) Set up. 7 (40) = x (50)

Since the distance is the same, then we have the following relationship:

`7 (40) = x (50)`

From here, we must clear the value of x.

4) Solve. x = 5.6

Clearing x we have:

`x = 7 (40)/(50)`

`x = 5.6`