SOLUTION: Wendy took a trip from city A to city B, a distance of 520 mi. She traveled part of the way by bus, which arrived at the train station just in time for Wendy to complete her journe
Algebra.Com
Question 710413: Wendy took a trip from city A to city B, a distance of 520 mi. She traveled part of the way by bus, which arrived at the train station just in time for Wendy to complete her journey by train. The bus averaged 40 mi/h, and the train averaged 60 mi/h. The entire trip took 10.5 hrs. How long did Wendy spend on the train?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Wendy took a trip from city A to city B, a distance of 520 mi. She traveled part of the way by bus, which arrived at the train station just in time for Wendy to complete her journey by train. The bus averaged 40 mi/h, and the train averaged 60 mi/h. The entire trip took 10.5 hrs. How long did Wendy spend on the train?
------
Train DATA:
distance = x miles ; rate = 60 mph ; time = x/60 hrs
---------------
Bus DATA:
distance = 520-x miles ; rate = 40 mph ; time = (520-x)/40 hrs
----------------
Equation:
time + time = 10.5 hrs.
x/60 + (520-x)/40 = 10.5
Multiply thru by 120 to get:
2x + 3*520 - 3x = 120*10.5
-----
-x = -300
x = 300 miles:
train time = x/60 = 300/60 = 5 hours
========================================
Cheers,
Stan H.
RELATED QUESTIONS
Wendy took a trip from city A to city B, a distance of 350 mi. She traveled part of the... (answered by solver91311)
Wendy took a trip from city A to city B, a distance of 820 mi. She traveled part of the... (answered by stanbon)
Wendy took a trip from city A to city B, a distance of 340 mi. She traveled part of the... (answered by lwsshak3)
Wendy took a trip from city A to city B, a distance of 860 mi. She traveled part of the... (answered by mananth)
Wendy took a trip from city A to city B, a distance of 450 mi. She traveled part of the... (answered by mananth)
Wendy took a trip from city A to city B, a distance of 910 mi. She traveled part of the... (answered by josmiceli,lwsshak3)
Wendy took a trip from one city to another, a distance of 600 mi. She traveled part of... (answered by ankor@dixie-net.com)
Wendy took a trip from one city to another, a distance of 260 mi. She traveled part of... (answered by ankor@dixie-net.com)
Wendy took a trip from one city to another, a distance of 210 mi. She traveled part of... (answered by josgarithmetic)