SOLUTION: A man could arrive on time for an appointment if he drove his car at 40 mph; however, since he left the house 15 minutes late, he drove the car at 50 mph and arrived 3 minutes earl

Question 998586: A man could arrive on time for an appointment if he drove his car at 40 mph; however, since he left the house 15 minutes late, he drove the car at 50 mph and arrived 3 minutes early for the appointment. How far from his house was his appointment?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A man could arrive on time for an appointment if he drove his car at 40 mph; however,
since he left the house 15 minutes late, he drove the car at 50 mph and arrived 3 minutes early for the appointment.
How far from his house was his appointment?
:
Since we are dealing in mph, change the minutes to hr
15 min: 15/60 = .25 hrs
3 min: 3/60 = .05 hrs
:
Let t = his normal drive time to work in hrs
then
40t = the distance to work
Write a distance equation; dist = speed * time
50(t-.25 + .05) = 40t
50(t - .20) = 40t
50t - 10 = 40t
50t - 40t = 10
10t = 10
t = 1 hr normal time to work
therefore
40(1) = 40 mi to work
:
:
Confirm this by finding the dist when he went 50 mph for 48 min (.8hrs)
50(1-.25+.05) = 50(.8) = 40 mi also
RELATED QUESTIONS
In driving to keep an appointment in another city. Harry estimated that he would arrive... (answered by ikleyn)

Cameron's watch shows the wrong time. When he left his house at 7.03 a.m., his watch... (answered by Theo,ikleyn)

Peter had a noon appointment 60 miles from his home. He drove from his home at an average (answered by ankor@dixie-net.com)

darren leaves on a car trip, driving a steady 15 M.P.H. he expects the trip to take 2... (answered by rfer)

John had a doctor's appointment at 9:30 am. The doctor's office is located 15.4 miles... (answered by solver91311)

Jim had an appointment at 1:00 pm at a location 50 miles from his home. Driving at the... (answered by richwmiller)

a man leaves his house at 8:00 AM and travelling at An average speed of 2 kph, arrives at (answered by addingup,ankor@dixie-net.com)

Jamie drove 15 miles from his house to get to school. He drove the first 8 miles at 45... (answered by checkley79)

Jerry had a doctor's appointment at 10:00 am. The doctor's office is located 16.2 miles... (answered by josgarithmetic,MathTherapy)