17-18 A man in a motorboat needs to catch a bus

17-given-figure.jpgProblem 17
A man in a motorboat at A receives a message at noon, calling him to B. A bus making 40 miles per hour leaves C, bound for B, at 1:00 PM. If AC = 30 miles, what must be the speed of the boat, to enable the man to catch the bus?
 

Solution 17

 

Problem 18
Solve Problem 17, if AC = 20 miles and the bus makes 50 miles per hour, leaving C at 12:18 PM, bound for B.

Solution 18

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