Question 1210215
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When Michelle starts her journey, Tim has driven for 48 minutes or 4/5 of an hour at 75 km/h; the distance he has traveled is (4/5)(75) = 60 kilometers.  Michelle must make up that distance of 60 km to catch up with Tim.<br>
When both are driving, Tim at 75 km/h and Michelle at 95 km/h, Michelle is catching up with Tim at a rate of (95-75) = 20 km/h.  The number of hours it takes her to catch up is then 60/20 = 3.<br>
ANSWER to the first question: It takes Michelle 3 hours to catch up with Tim.<br>
When Michelle catches up with Tim, she has been driving for 3 hours at 95 km/h, covering a distance of 3*95 = 285 km.  That is the total distance from A to B, so Michelle catches up to Tim at the time both of them reach B.<br>
ANSWER to the second question: Tim is 0 km from B when Michelle completes her journey.<br>