A train starts from station \( A \) with uniform acceleration \( a_{1} \) for \( \mathrm{P} \) s...

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A train starts from station \( A \) with uniform acceleration \( a_{1} \) for
\( \mathrm{P} \) some distance and then goes with uniform retardation \( a_{2} \) for

W
some more distance to come to rest at station \( B \). The distance between stations \( A \) and \( B \) is \( 4 \mathrm{~km} \) and the train takes \( 1 / 15 \mathrm{~h} \) to complete this journey. If accelerations are in \( \mathrm{km} \) per minute unit, then show that \( \frac{1}{a_{1}}+\frac{1}{a_{2}}=x \). Find the value of \( x \).
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