Two towns are 1100 miles apart. A group of hikers starts from each town and walks down the trail toward each other. They meet after a total hiking time of 240 hours. If one group travels one half mile per hour slower than the other group, find the rate of each group.

2.54 miles/hr

2.04 miles/hr

Step-by-step explanation:

Given: Distance between the two towns = 1100 miles

Difference between speeds = miles/hr

Total time when they meet = 240 hours

To find:

Let distance traveled by first group = miles.

Now, the distance traveled by second group = (1100-) miles/hr

The relation between Speed, Time and Distance is given as:

Let speed of first group =

Let speed of second group =

As per question, = +

Now,

Putting value of :

Similarly, putting value of in :

4.

step-by-step explanation:

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