Joseph and Wilson each started out at their own houses and are biking towards each other. Joseph started out first, and has already gone 10 kilometers. He bikes at a constant speed of 7 kilometers per hour. Wilson just left, and rides at 9 kilometers per hour. When the boys meet halfway between their houses, they will continue to the park together. How far will each boy have ridden to meet the other halfway? How long will that take?

Distance to halfway point=45 km

Wilson's Time=5hrs

Joseph's time=6.26hrs

Step-by-step explanation:

-Let x be the number of hours it takes for the two to meet halfway when Wilson starts his ride.

#The time already utilized prior to Wilson's start is:

Joseph's remaining distance to the hallway point is less by 10km

Since, the distance to meet is equal, we equate their times as:

Hence, the distance ridden by each to the halfway point is 45 km

#We now use this distance to solve for individual times:

Hence, Joseph takes 6.26hrs while Wilson takes 5hrs to get to the halfway point.

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