It takes sixteen hours for a 1200 km journey, if 240 km is done by car and the rest by train. It takes 40 minutes more, if 400 km is done by car and the rest by train. What is the ratio of the speed of the car to that of the train?

3:4

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4:5

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3:5

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5:4

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None of these

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Solution

The correct option is A
3:4

Let speed of the car = x kmph and speed of the train = y kmph

$\Rightarrow$ $\frac{240}{x} + \frac{960}{y} = 16$ - (Equation 1)

$\Rightarrow$ $\frac{400}{x} + \frac{800}{y} = \frac{50}{3}$ - (Equation 2)

x : y = 3 : 4

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It takes sixteen hours for a 1200 km journey, if 240 km is done by car and the rest by train. It takes 40 minutes more, if 400 km is done by car and the rest by train. What is the ratio of the speed of the car to that of the train?

The correct option is A 3:4 Let speed of the car = x kmph and speed of the train = y kmph ⇒240x+960y=16 - (Equation 1) ⇒400x+800y=503 - (Equation 2) x : y = 3 : 4

The correct option is A
3:4

Let speed of the car = x kmph and speed of the train = y kmph

$\Rightarrow$ $\frac{240}{x} + \frac{960}{y} = 16$ - (Equation 1)

$\Rightarrow$ $\frac{400}{x} + \frac{800}{y} = \frac{50}{3}$ - (Equation 2)

x : y = 3 : 4