SOLUTION: Tiffany traveled by scooter for an average speed of 32 miles per hour. Then,she traveled by train for an average speed of 64 miles per hour. In total she traveled 371 miles for 7 h

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Tiffany traveled by scooter for an average speed of 32 miles per hour. Then,she traveled by train for an average speed of 64 miles per hour. In total she traveled 371 miles for 7 h      Log On


   



Question 747650: Tiffany traveled by scooter for an average speed of 32 miles per hour. Then,she traveled by train for an average speed of 64 miles per hour. In total she traveled 371 miles for 7 hours. How many miles did she travel by train?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT
The distance has 2 factors. The scooter trip (32T) & the train trip (64[7-T]). They have to be added to get the full 371 mile trip.
371=32T+64(7-T)
371=32T+64*7-64T
371=-32T+448
-32T=371-448
-32T=-77
T=-77/-32
T=2.4 HOURS FOR THE 32 MPH TRIP.
7-2.4=4.6 HOURS FOR THE 64 MPH TRIP.
PROOF:
371=32*2.4+64*4.6
371=76.8+294.4
371=371.2 (ROUNDING ERROR).