Question 95725
Your school is 18 3/4miles south of Pittsburgh and your house is 44 1/4 miles south of Pittsburgh. You leave your school at 5:00pm, traveling south by bicycle at an average speed of 15 miles per hour. Your father leaves Pittsburgh in a car at 5:45pm. He is driving south at an average speed of 55 miles per hour. Let t represent the time it takes your father to drive from Pittsburgh toward your house.
:
Time = dist/speed
:
a) Find the time it would take you to ride your bicycle home.
:
Let t1 = the time for your trip home (to differentiate from Dad's time)
Distance would be (44.25 - 18.75)
Speed is given as 15 mph
:
t1 = {{{((44.25-18.75))/15}}}
t1 = {{{(25.2)/15}}}
t1 = 1.7 hrs which is 1 + .7(60) = 1 hr 42 min
: 
:
b)Find the time your father will arrive home.
t = {{{44.25/55}}}
t = .8045 * 60 = 48.3 min
:
c)Write an equation to find your distance d1 from Pittsburgh after t hours
d1 = 15t + 18.75
:
:
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