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Math Train travel time?

Two trains leave a station at 11:00 am. One train travels north at a rate (speed) of 56 mph and another travels east at a rate (speed) of 192 mph. Assuming that the trains do not stop, at what time will the trains be 350 miles apart? Enter your answer as an actual time, such as 5:15, and use the drop-down box to the right of the answer box to select AM or PM .

2 Answers

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  • ?
    Lv 7
    2 months ago
    Favorite Answer

     Two trains leave a station at 11:00 am. 

     One train travels north at a rate (speed) of 56 mph 

     and another travels east at a rate (speed) of 192 mph. 

     Assuming that the trains do not stop, 

     at what time will the trains be 350 miles apart? 

     √( (56t)^2 + (192t)^2 ) = 350

    350 = t√(56^2 + 192^2) = 200t 

     t = 350/200 = 1.75

    0.75 hour = 45 minutes 

    11 am + 1.75 = 12:45 pm

     

  • fcas80
    Lv 7
    2 months ago

    This is a right triangle Pythagorean Formula problem.  For any time t in hours, the hypotenuse equals SQRT(

     (56t)^2 + (192t)^2 ).  Find t so this equals 350.

    350 = t SQRT(56^2 + 192^2) = 200t

    t = 350/200 = 1.75

    .75 hour = 45 minutes

    11 am + 1.75 = 12:45 pm

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