Question

The distance along a scenic route between two cities is 688 miles. One group of tourists left from the western end of the route at an average speed of 38 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 48 miles per hour. How long will it be before the two groups can expect to​ meet?

Answer 1

Answer:it will be approximately 32.438 hours before the two groups can expect to meet.

Step-by-step explanation:To find out how long it will be before the two groups of tourists meet, you can use the formula:

Time = Distance / Speed

Let's calculate the time it takes for each group to travel towards each other:

For the group traveling from the western end at 38 miles per hour:

Time1 = Distance / Speed = 688 miles / 38 mph = 18.105 hours (approximately)

For the group traveling from the eastern end at 48 miles per hour:

Time2 = Distance / Speed = 688 miles / 48 mph = 14.333 hours (approximately)

Now, since both groups are traveling towards each other, you can add the times it takes for each group to meet:

Total Time = Time1 + Time2 = 18.105 hours + 14.333 hours ≈ 32.438 hours

So, it will be approximately 32.438 hours before the two groups can expect to meet.