1) You are eating lunch at your favorite cafe and your friend calls and says he
ID: 1519805 • Letter: 1
Question
1) You are eating lunch at your favorite cafe and your friend calls and says he wants to meet you. He is calling from a city 125 miles away and wants to meet you somewhere between the two locations. He says he will start driving right away, but you need 25.0 minutes to finish your lunch before you can begin driving. If your friend plans to drive at 70.0 mph and you plan to drive at 60.0 mph, how long will your friend be driving before he meets you? (Ignore acceleration and assume the highway forms a straight line.) 2) How far will you have traveled by the time you meet him?
Explanation / Answer
Distance travelled by friend in time t + 25 minutes = (t + 25)*70/60 miles
Distance travelled by me in time t = t*60/60 miles
so t + (t+25)*7/6 = 125
44.230 min
Friend travelle3d for t + 25 = 1.1538 hrs
Distance travelled = 6-*44.230/60 = 44.23 miles
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