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Cassie leaves Escanaba at 8:30 AM heading for Marquette on her bike. She bikes at a uniform rate of 12 miles per hour. Brian leaves Marquette at 9:00 AM heading for Escanaba on his bike. He bikes at a uniform rate of 18 miles per hour. They both bike on the same 50-mile route between Escanaba and Marquette. At what time in the morning do they meet? (Express your answer in standard hh:mm time form.)

 May 25, 2022
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Let the time that it takes you to meet each other==T

 

12T  +  18[T - 1/2]==50

12T  +  18T -  9 ==  50

30T ==50 + 9

30T ==59

T ==59/30 x 60 minutes ==118 minutes after Cassie left at 8:30 AM

 

8:30  +  118 minutes ==10:28 AM - the exact time when you will meet.

 

Note: Cassie will have ridden her bike for 118 minutes and you will have ridden your bike for 118 - 30 ==88 minutes after you left at 9:00 AM.

 May 25, 2022

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