# Intersection point

Ronald and Rosa are hiking. Ronald hikes 4 miles per hour. Rosa hikes 5 miles per hour. Ronald leaves camp at 8 am for the trail. Rosa leaves camp at 10 am for the trail. At what time will Rosa catch up to Ronald? Where will they be on the trail? How many miles will they be from camp? If they keep hiking for another 2 hours, how far ahead will Rosa be from Ronald?

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#### Solution Preview

Suppose

Ronald hiking rate = x= 4 miles/hour

Rosa's hking rate = y=5 miles/hour

Ronald's starting time st1=8 am

Rosa's Starting time st2 = 10 am

They will meet :

Let d be the distance they will meet.

Let FT be the final time they will meet together

D ...

#### Solution Summary

This answers several questions regarding a given situation of hikers moving at different speeds.

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