The distance of a train travels varies directly with the amount of time t that has elapsed since departure. If the train travels 475 miles in 9.5 hours, how many miles did the train travel after 4 hours
To solve this problem, we can use the fact that the distance traveled varies directly with the time elapsed since departure. This means that we can set up a proportion to find the answer.
Let's let d be the distance traveled after 4 hours. We can set up the proportion:
distance / time = distance / time
475 miles / 9.5 hours = d miles / 4 hours
Cross multiplying, we get:
9.5 * d = 475 * 4
Dividing both sides by 9.5, we find:
d = (475 * 4) / 9.5
Simplifying this expression, we get:
d ≈ 200 miles
Therefore, the train traveled approximately 200 miles after 4 hours.