Four stations A, B, C, and D form a rectangle ABCD. The distance from A to B is given by ( P 2 + 100 ) km (P^2 + 100) \text{ km} ( P 2 + 100 ) km and ...

Banking IBPS PO Mains Medium Simplification MCQ

Question

Four stations A, B, C, and D form a rectangle ABCD. The distance from A to B is given by $(P^2 + 100) \text{ km}$ and from B to C is $(20P + 100) \text{ km}$ . Train Y travels from station A to D via B and C, covering a total distance of $2700 \text{ km}$ in $25$ hours.

The table below shows the time taken by trains X, Y, and Z to cross a pole and a platform:

Train	Time to cross pole (seconds)	Time to cross platform (seconds)
X	$0.5P - 5$	$P$
Y	(not given)	$Q$
Z	$M$	$P + 6$

It is also given that the average time taken by all trains to cross the platform is $(Q + 6)$ seconds, and the length of the platform is $400$ meters.

Find the ratio $P : Q$ .

Options

$5 : 4$

$2 : 1$

$1 : 8$

$2 : 3$

$5 : 3$

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Four stations A, B, C, and D form a rectangle ABCD. The distance from A to B is given by ( P 2 + 100 ) km (P^2 + 100) \text{ km} ( P 2 + 100 ) km and ...

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Four stations A, B, C, and D form a rectangle ABCD. The distance from A to B is given by ( P 2 + 100 ) km (P^2 + 100) \text{ km} ( P 2 + 100 ) km and ...

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