SOLUTION: Helen took the bus on her way to school and ran the rest of the way. She ran 3 mins. longer than she rode. If it took her 15 mins. to arrive in school, how long was her bus ride?

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Question 181624: Helen took the bus on her way to school and ran the rest of the way. She ran 3 mins. longer than she rode. If it took her 15 mins. to arrive in school, how long was her bus ride?
Thank YOU!!

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let t%5Bb%5D = time spent on bus
Let t%5Br%5D = time spent running
given:
t%5Bb%5D+%2B+t%5Br%5D+=+15
(1) t%5Br%5D+=+15+-+t%5Bb%5D
(2) t%5Br%5D+=+t%5Bb%5D+%2B+3
Substitute t%5Br%5D in (2) for t%5Br%5D in (1)
t%5Bb%5D+%2B+3+=+15+-+t%5Bb%5D
2t%5Bb%5D+=+12
t%5Bb%5D+=+6
The bus ride was 6 min
check answer:
(1) t%5Br%5D+=+15+-+t%5Bb%5D
t%5Br%5D+=+15+-+6
t%5Br%5D+=+9
(2) t%5Br%5D+=+t%5Bb%5D+%2B+3
9+=+6+%2B+3
9+=+9
OK