A scooterist completes a certain journey in $10$ hours. He covers half the distance at $30$ km/hr and the rest at $70$ km/hr. What is the total distance of the journey?

460

km.

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500

km.

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420

km.

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560

km.

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Solution

The correct option is D $420$ km.
Let the total distance of the journey be $x$ km. Then,
$\frac{\frac{x}{2}}{30} + \frac{\frac{x}{2}}{70} = 10 \Rightarrow \frac{x}{30} + \frac{x}{70} = 20 \Rightarrow \frac{7 x + 3 x}{210} = 20 \Rightarrow 10 x = 20 \times 210 \Rightarrow x = 420 k m .$

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A scooterist completes a certain journey in 10 hours. He covers half the distance at 30 km/hr and the rest at 70 km/hr. What is the total distance of the journey?

The correct option is D 420 km.Let the total distance of the journey be x km. Then,x230+x270=10⇒x30+x70=20⇒7x+3x210=20⇒10x=20×210⇒x=420km.

A scooterist completes a certain journey in $10$ hours. He covers half the distance at $30$ km/hr and the rest at $70$ km/hr. What is the total distance of the journey?

The correct option is D $420$ km.
Let the total distance of the journey be $x$ km. Then,
$\frac{\frac{x}{2}}{30} + \frac{\frac{x}{2}}{70} = 10 \Rightarrow \frac{x}{30} + \frac{x}{70} = 20 \Rightarrow \frac{7 x + 3 x}{210} = 20 \Rightarrow 10 x = 20 \times 210 \Rightarrow x = 420 k m .$