Martin can travel 174 miles in 3 hours. At this rate, how far can he travel in 7 hours?

Thanks I needed this for a math test

To find out how far Martin can travel in 7 hours, we can use a proportion.

We know that Martin can travel 174 miles in 3 hours, so we can set up the following proportion:

174 miles / 3 hours = x miles / 7 hours

To find x, we can cross multiply:

(174 miles)(7 hours) = (3 hours)(x miles)

1218 miles = 3x

To isolate x, we can divide both sides of the equation by 3:

1218 miles / 3 = x

406 miles = x

Therefore, Martin can travel 406 miles in 7 hours.

To solve this problem, we first need to find out Martin's rate of travel (speed). We can do this by dividing the distance he can travel by the time it takes him.

The rate of travel is calculated using the formula:
Rate = Distance / Time

Given that Martin can travel 174 miles in 3 hours, we can plug in these values to find his rate of travel:
Rate = 174 miles / 3 hours
Rate ≈ 58 miles/hour

Now that we know Martin's rate of travel is approximately 58 miles/hour, we can use this rate to find out how far he can travel in 7 hours.

To find the distance, we use the formula:
Distance = Rate * Time

Plugging in the values:
Distance = 58 miles/hour * 7 hours
Distance = 406 miles

Martin can travel approximately 406 miles in 7 hours.

7/3 * 174

or, as a proportion
x/7 = 173/3