SOLUTION: James travels 550km by car and returns the same distance by train. The car travels 25km/h faster than the train and takes 75 minutes less time. What is the speed of the car in the

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Question 873342: James travels 550km by car and returns the same distance by train. The car travels 25km/h faster than the train and takes 75 minutes less time. What is the speed of the car in the nearest km/h?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
_________________speed______________time__________distance
CAR______________r+25______________________
TRAIN____________r__________________t_____________

Two equations occur based on knowing the one-way distance.

CAR equation:

, the substitution using the TRAIN equation.



allowing for substitution now into the TRAIN equation.
-



----You want to solve this for time t, and use it to find the speeds of the train and CAR.
-
discrim,
discrim,
HOURS
-





-
TRAIN speed, not quite yet in proper simplified radical form,


Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
James travels 550km by car and returns the same distance by train. The car travels 25km/h faster than the train and takes 75 minutes less time. What is the speed of the car in the nearest km/h?

Quadratic equation:
Speed of car: 118.1231509 ≈ km/h
You can do the check!!
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