You are eating lunch at your favorite cafe and your friend calls and says he wan

Question

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 165 miles away and wants to meet you somewhere between the two locations. He says he will start driving right away, but you need 33.0 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 50.0 mph, how long will your friend be driving before he meets you? (Ignore acceleration and assume the highway forms a straight line.) Number ___ min How far will you have traveled by the time you meet him? Number ____ miles

Explanation / Answer

suppose friend drives for time t hr

then you will drive for (t - (33 /60 )) = t - 0.55

distance travelled by friend, d1 = 70t

by you, d2 = 50(t - 0.55)

d1 + d2 = 165 miles

70t + 50t - 27.5 = 165

t = 1.60 hr

t( in min) = 1.60 x 60 min = 96.2 min .......Ans

d2 = 50 ( t - 0.55)

= 52.7 miles ......Ans

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