SOLUTION: Ivan and Kate live 42 miles apart. At 8 a.m., Ivan started biking towards Kate at a rate of 12 mph. Kate left to meet Ivan at 9:30 a.m., but biked at a rate of 18 mph. At what time

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Question 1121342: Ivan and Kate live 42 miles apart. At 8 a.m., Ivan started biking towards Kate at a rate of 12 mph. Kate left to meet Ivan at 9:30 a.m., but biked at a rate of 18 mph. At what time did they meet? Please use as many steps as possible, so I can understand
Answer by ikleyn(52884)   (Show Source): You can put this solution on YOUR website!
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Ivan started first, and from 8 am till 9:30 am he moved toward Kate 12 mph * 1.5 hours = 18 miles.


So, at 9:30 am the distance between them is  42 - 18 = 24 miles.


Starting from 9:30 am they BOTH move toward each other.  Their relative speed is 12 + 18 = 30 miles per hour.


So, they will cover the distance of 24 miles between them in   =  hours, which is 48 minutes.


So, they will meet each other 48 minutes after 9:30 am,  which is  10:18 am.

Solved.


Is it clear to you ?



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