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Two towns are at a distance of 240 km fr...

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 `km//hr^(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) ne V_(1)`.

A

15 km/h

B

10 km/h

C

20 km/h

D

8 km/h

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The correct Answer is:
C
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