Two towns are at a distance of 240 km from each other. A motorist takes 8 hours to cover the distance if he travels at a speed of $V_{0}$ km/h from town A to an intermediate town C and then continues on his way with an acceleration of x $k m / h r^{2}$ . He needs the same time to cover the whole distance if he travels from A to C at $V_{0}$ km/h and from C to B at $V_{1}$ km/h or from A to C at $V_{1}$ km/h from C to B at $V_{0}$ km/h. Find $V_{0}$ if the acceleration 'x' is double $V_{0}$ in magnitude and $V_{0} \neq V_{1}$

15 km/h

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10 km/h

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20 km/h

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8 km/h

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Solution

The correct option is A 15 km/h
Let the distance AC = d
Then, $\frac{d}{V_{0}} + \frac{240 - d}{V_{1}} = \frac{d}{V_{1}} + \frac{240 - d}{V_{0}}$
If $V_{0} \neq V_{1}$ , then the above condition will be satisfied only if d = 120 km.

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The correct option is A 15 km/hLet the distance AC = d Then, dV0+240−dV1=dV1+240−dV0 If V0≠V1, then the above condition will be satisfied only if d = 120 km.

The correct option is A 15 km/h
Let the distance AC = d
Then, $\frac{d}{V_{0}} + \frac{240 - d}{V_{1}} = \frac{d}{V_{1}} + \frac{240 - d}{V_{0}}$
If $V_{0} \neq V_{1}$ , then the above condition will be satisfied only if d = 120 km.