Questions: Two mountain bikers take off from the same place at the same time. One travels north at 7 mph. How far apart are they after 4 hours?

Two mountain bikers take off from the same place at the same time. One travels north at 7 mph. How far apart are they after 4 hours?
Transcript text: Two mountain bikers take off from the same place at the same time. One travels north at 7 mph. How far apart are they after 4 hours?
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Solution

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Solution Steps

To find out how far apart the two mountain bikers are after 4 hours, we need to calculate the distance traveled by the biker heading north. Since the other biker's direction or speed is not mentioned, we assume only one biker is moving. The distance can be calculated using the formula: distance = speed × time.

Step 1: Calculate Distance

To find the distance traveled by the mountain biker heading north, we use the formula for distance: \[ d = s \times t \] where \( s = 7 \, \text{mph} \) (speed) and \( t = 4 \, \text{hours} \).

Step 2: Substitute Values

Substituting the values into the formula gives: \[ d = 7 \, \text{mph} \times 4 \, \text{hours} = 28 \, \text{miles} \]

Final Answer

The distance traveled by the mountain biker after 4 hours is \\(\boxed{28 \, \text{miles}}\\).

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