Two automobiles start together at the same place and travel along the same route. The first averages 40 miles per hour, the second 55 miles per hour. How many miles further along the route is the second auto at the end of five hours?
Answer (2)
Calculate the distance traveled by the first car: 40 × 5 = 200 miles.
Calculate the distance traveled by the second car: 55 × 5 = 275 miles.
Subtract the distances to find the difference: 275 − 200 = 75 miles.
The second car is further along the route by: 75 miles.
Explanation
Understanding the Problem Let's break down this problem. We have two cars traveling the same route, but at different speeds. We want to find out how much further the faster car has traveled after a certain amount of time.
Distance Traveled by the First Car The first car travels at 40 miles per hour. After 5 hours, the distance it covers is calculated as: 40 miles/hour × 5 hours = 200 miles
Distance Traveled by the Second Car The second car travels at 55 miles per hour. After 5 hours, the distance it covers is calculated as: 55 miles/hour × 5 hours = 275 miles
Finding the Difference in Distance To find how much further the second car has traveled, we subtract the distance traveled by the first car from the distance traveled by the second car: 275 miles − 200 miles = 75 miles
Final Answer So, the second car is 75 miles further along the route than the first car after 5 hours.
Examples
Imagine two friends are running a race. One runs faster than the other. This problem helps us calculate how much further ahead the faster runner will be after a certain time. Understanding the difference in distances can be applied to various scenarios, such as planning travel routes, comparing the performance of athletes, or even understanding how quickly investments grow at different rates.
After 5 hours, the first car travels 200 miles and the second car travels 275 miles. The difference in distance means the second car is 75 miles ahead of the first car. Therefore, the second car is 75 miles further along the route than the first car.
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