Question

The distance along a scenic route between two cities is 704 miles. One group of tourists left from the western end of the route at an average speed of 39 miles per hour. Another group left from the eastern end of the route at the same​ time, traveling in the opposite​ direction, with an average speed of 49 miles per hour. How long will it be before the two groups can expect to​ meet?

Answer 1

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Answer:

8 hours

Explanation:

The gap between the two groups is closing at the rate of (39 +49) = 88 mph.

At that rate, the 704-mile gap will be closed in ...

time = distance/speed

time = (704 mi)/(88 mi/h) = 8 h

The two groups will meet in 8 hours.

_____

Additional comment

Their meeting point will be (39 mi/h)(8 h) = 312 mi from the western end of the route.