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If 11.25 m of a uniform iron rod weighs 42.75 kg, what will be the wei

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Bunuel
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If 11.25 m of a uniform iron rod weighs 42.75 kg, what will be the wei [#permalink] New post   19 Jan 2021, 04:00
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If 11.25 m of a uniform iron rod weighs 42.75 kg, what will be the weight of 6 m of the same rod?

(A) 22.8 kg
(B) 25.6 kg
(C) 28 kg
(D) 26.5 kg
(E) 27.5 kg
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Re: If 11.25 m of a uniform iron rod weighs 42.75 kg, what will be the wei [#permalink] New post   19 Jan 2021, 04:14
11.25:42.75 :: 6:x
=>1125/4275 = 6/x
=> 5/18 = 6/x
=> x = (18*6)/5
=> x = 22.8

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Re: If 11.25 m of a uniform iron rod weighs 42.75 kg, what will be the wei [#permalink] New post   19 Jan 2021, 04:21
We have the price of 11.25 m of rod = 42.75.
We need to find the price of 6m of rod.
As we can see, 6 is 0.4 m longer than half of 11.25. So if you are running out of time just divide 42.75 by 2 and choose the option with a nearby greater value.
Also if we estimate it as 6/11*44 we get 24 hence the value should be less than 24 and only one option satisfy these two conditions.
42.75/2 ~21. and nearby greater values are 22.8.
But if the options are close enough, we might need to go through this calculation.
Price of 6 m rod = 6/11.25*42.75 = 22.8
Answer : A
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Re: If 11.25 m of a uniform iron rod weighs 42.75 kg, what will be the wei [#permalink] New post   19 Jan 2021, 05:03
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SOLUTION:

Given 11.25 m of a uniform iron rod weighs 42.75 kg,
=> 6m of the rod will weigh ( 42.75 / 11.25 )*6 =22.8 kg (OPTION A)

Hope this helps :thumbsup:
Devmitra Sen(Math)
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Re: If 11.25 m of a uniform iron rod weighs 42.75 kg, what will be the wei [#permalink]
19 Jan 2021, 05:03
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