SOLUTION: In the morning, Maria drove to a business appointment at 60 mph. Her average speed on the return trip in the afternoon was 50 mph. The return trip took 1/5 hr longer because of hea

Question 626354: In the morning, Maria drove to a business appointment at 60 mph. Her average speed on the return trip in the afternoon was 50 mph. The return trip took 1/5 hr longer because of heavy traffic. How far did she travel to the appointment?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In the morning, Maria drove to a business appointment at 60 mph. Her average speed on the return trip in the afternoon was 50 mph. The return trip took 1/5 hr longer because of heavy traffic. How far did she travel to the appointment?
--------------------
To-appointment DATA:
rate = 60 mph ; distance = x miles ; time = d/r = x/60 hrs
----
From-appointment DATA:
rate = 50 mph ; distance = x miles ; time = x/50 hrs
----
Equation:
time - time = (1/5) hr.
(x/50) - (x/60) = 1/5 hr
Multiply thru by 300 to get
6x - 5x = 60
x = 60 miles (distance to the appointment)
=================
Cheers,
Stan H.
RELATED QUESTIONS
Maria drove to a business appointment at 40 mph. Her average speed on the return trip in (answered by lwsshak3)

in the morning, maria drove to a business appointment at 70 mph. Her average speed on the (answered by Alan3354)

In the morning, Maria drove to a business appointment at 70 mph. Her average speed (answered by fractalier)

In the morning, Maria drove to her business appointment at 70 mph. Because of higher... (answered by ikleyn,lwsshak3)

In the morning Maria drove to a business appointment at 70 mph. Her average speed on the... (answered by ikleyn)

In the morning, Maria drove to an appointment at 50mph. Her average speed on the return... (answered by jim_thompson5910)

In the morning maria drove to a business appointment at 30 mph. Her average speed on the... (answered by richwmiller)

In the morning, Maria drove to a business appointment at 30 mph. Her average speed on the (answered by TimothyLamb)

In the morning, Maria drove to a business appointment at 90 mph. Her average speed on... (answered by Boreal,Alan3354)