SOLUTION: Allison has a mobile phone. Its fully charged battery gives her 6 hours of talk time or 210 hours of stand-by time. When Alison boarded the train the phone was fully charged, but t

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Question 1094027: Allison has a mobile phone. Its fully charged battery gives her 6 hours of talk time or 210 hours of stand-by time. When Alison boarded the train the phone was fully charged, but the moment she arrived at her destination, the battery ran out. How long did Alison travel on the train, if it is known that she was talking on the phone for exactly half her journey time?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Allison spent the same amount of time talking as on standby. She used a total of one full cellphone battery charge.
This seems to be a constant rates situation. 

               RATE           TIME        COUNT OF BATTERY CHARGES

TALK            1/6             t         (1/6)t

STANDBY        1/210            t        (1/210)t

Total                                      1


The total time length of the trip in HOURS was highlight_green%282t%29.
Solve for t, in highlight_green%28t%2F6%2Bt%2F210=1%29.