SOLUTION: Manuel traveled 8 hours nonstop to​ Mexico, a total of 352 miles. He took a train part of the​ way, which averaged 6060​mph, and then took a bus the remaining&#8

Algebra ->  Absolute-value -> SOLUTION: Manuel traveled 8 hours nonstop to​ Mexico, a total of 352 miles. He took a train part of the​ way, which averaged 6060​mph, and then took a bus the remaining&#8      Log On


   

Question 1070540: Manuel traveled 8 hours nonstop to​ Mexico, a total of 352 miles. He took a train part of the​ way, which averaged 6060​mph, and then took a bus the remaining​ distance, which averaged 40mph. How long was Manuel on the​ train?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
              SPEED      TIME     DISTANCE
TRAIN       *  6060        t         6060t
BUS            40        8-t       40(8-t)
Totals                    8          352

Using variable t for the question asked, time on the train, just the distance sum should give the necessary equation:

6060t%2B40%288-t%29=352

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6060t%2B320-40t=352
6020t=352-320
6060t=32
t=32%2F6060
t=0.00528%2Ahours------0.318%2Aminutes, or 19 seconds.

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* Maybe a value in the problem description is wrong? Maybe "60" mph was intended instead of 6060 mph? In that case,
60t%2B320-40t=352
20t=352=320
20t=32
t=32%2F20
highlight%28t=96%2AMINUTES%29 or 1.6 hours , or 1 hour 36 minutes