SOLUTION: Tom Quig traveled 260 miles east of St Louis. For most of the trip he averaged 60mph. At one period of time he drived 20mph due to a major road accident. Total trip lasted 7 hours.

Question 441573: Tom Quig traveled 260 miles east of St Louis. For most of the trip he averaged 60mph. At one period of time he drived 20mph due to a major road accident. Total trip lasted 7 hours. How many miles did he traveled at reduced speed?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Tom Quig traveled 260 miles east of St Louis. For most of the trip he averaged 60mph. At one period of time he drived 20mph due to a major road accident. Total trip lasted 7 hours. How many miles did he traveled at reduced speed?
--------------------------------
Equations:
Let "s" be distance traveled at 60mph; Let "t" be dist. traveled at 20mph.
Distance Eq: s + t = 260 miles
---
Use distance/rate = time to get:
Time Eq::: s/60 + t/20 = 7 hrs
---------------------------------------
Rearrange:
s + t = 260
s + 3t = 60*7
--------------------
Subtract and solve for "t":
2t = 160
t = 80 miles (distance traveled at 20 mph)
Solve for "s":
s + t = 260
s + 80 = 260
s = 180 miles (distance traveled at 60 mph)
==========================================
Cheers,
Stan H.
RELATED QUESTIONS
Solve the problem. Tom Quig traveled 280 miles east of St. Louis. For most of the trip he (answered by ankor@dixie-net.com)

Tom Quig traveled 280 miles east of St. Louis. For most of the trip he averaged 60 mph,... (answered by ankor@dixie-net.com)

Tom Quig traveled 280 miles east of St. Louis. For most of the trip he averaged 60 mph,... (answered by nerdybill,stanbon)

Tom Quig traveled 250 miles east of St. Louis. For most of the trip he averaged 60... (answered by josgarithmetic)

Tom traveled 280 miles east of St. Louis. For most of the trip he averaged 60mph, but for (answered by richwmiller)

I came up with 30mi....but I can't really explain how I got it. Tom Quig traveled 210... (answered by ikleyn,MathTherapy)

I could really use some help on this, I am terrible at wordproblems. Tom Quig traveled (answered by venugopalramana)

Tom traveled 250 miles east of St Louis. For most of the trip he averaged 70mph, but for (answered by ewatrrr)