SOLUTION: 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 o

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.
a) Find the time it would take you to ride your bicycle home.
b)Find the time your father will arrive home.
c)Write and equation to find your distance d1 from Pittsburgh after t hours
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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 =
t1 =
t1 = 1.7 hrs which is 1 + .7(60) = 1 hr 42 min
:
:
b)Find the time your father will arrive home.
t =
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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