Question

two group of hikers left camp at the same time and returned to the camp at the same time. one group hiked 6mph out to the camp and hiked back to the camp at 4mph. the second group hiked at constant speed all day. how fast did second group hike if each group hiked 24 mile

Answer 1

The second group hiked at a constant speed of 57.6 mph.

Step-by-step explanation:

The first group of hikers hiked 6 mph out to the camp and 4 mph back. Let's say the distance to the camp is x miles. The time taken to go to the camp would be x/6 hours, and the time taken to come back would be x/4 hours. As both groups returned to the camp at the same time, the total distance traveled by each group is 24 miles.

So we have the equation:

x/6 + x/4 = 24

Multiplying through by 12 to clear the denominators, we get:

2x + 3x = 288

5x = 288

x = 57.6

Therefore, the second group hiked at a constant speed of 57.6 mph.