Question

solving a ratio problem determine how far the vehicle travels in 3 hours.
a motorcycle travels 25 miles every 0.5 hour.
the vehicle travels \\(\square\\) miles.

Explanation:

Step1: Find the speed per hour

The motorcycle travels 25 miles in 0.5 hours. To find the speed per hour, we can calculate how many miles it travels in 1 hour. Since 0.5 hours is half an hour, in 1 hour (which is twice 0.5 hours), it will travel \(25\times2 = 50\) miles per hour.

Step2: Calculate distance in 3 hours

Now that we know the speed is 50 miles per hour, to find the distance traveled in 3 hours, we use the formula \( \text{Distance} = \text{Speed} \times \text{Time} \). So, the distance is \(50\times3 = 150\) miles.

Answer:

150