Question

john drives his car a distance of 16 miles to work, at a rate of m miles per hour. if, on a certain day, the car stops after only v miles, how many hours will it take john to travel the rest of the way, at the same rate?

Answer 1

• time left = (16 - v) / m

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Use the formula:

• distance = rate x time.

We know that John drives a distance of 16 miles to work at a rate of m miles per hour.

So, the time it takes him to travel the full distance is:

• time = distance / rate
• time = 16 / m

On a certain day, the car stops after only v miles. So, the distance John still needs to travel is:

• distance left = 16 - v

We also know that he will be traveling at the same rate, so we can use the formula again:

• distance left = rate x time left
• 16 - v = m x time left

To find the time left, we can rearrange the formula:

• time left = (16 - v) / m