a train travels 150 km in the same time that a plane travels 400 km. if the rate of the plane is 20 km per hour less than three times the rate of the train, find both rates

Question

Physics

Antwan

29 August, 02:14

a train travels 150 km in the same time that a plane travels 400 km. if the rate of the plane is 20 km per hour less than three times the rate of the train, find both rates

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Answers (1)

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Grant · Answer 1

Speed of train = 60 km/hr

Speed of plane = 160 km/hr

Explanation:

We can construct the following equations from the given information:

Speed of train * time = 150 - Equation 1

Speed of plane * time = 400 - Equation 2

Speed of plane = (3 * Speed of train) - 20 - Equation 3

We can solve these three simultaneous equations for the three variables (speed of train, speed of plane, time).

Substituting within Eq. 1 and Eq. 2 we get:

Speed of plane * 150 = 400 * Speed of train - Equation 4

Finally, solving Eq. 4 and Eq. 3 simultaneously we get:

Speed of train = 60 km/hr

Speed of plane = 160 km/hr