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Bunuel
A wire that weighs 24 kilograms is cut into two pieces so that one of the pieces weighs 16 kilograms and is 34 meters long. If the weight of each piece is proportional to its length, how many meters long is the other piece of wire?

A. 8
B. 11
C. 13
D. 17
E. 20

A wire that weighs 24 kilograms is cut into two pieces so that one of the pieces weighs 16 kilograms and is 34 meters long.
24 kg - 16 kg = 8 kg
So, the remaining piece of wire weight 8 kg

If the weight of each piece is proportional to its length, how many meters long is the other piece of wire?
Let x = the length (in meters) of the remaining piece

Since weight is proportional to length we can write: 16/34 = 8/x
Cross multiply" (16)(x) = (8)(34)
Divide both sides by 8 to get: 2x = 34
Divide both sides by 2 to get: x = 17

Answer: D

Cheers,
Brent

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A wire that weighs 24 kilograms is cut into two pieces so that one of the pieces weighs 16 kilograms and is 34 meters long. If the weight of each piece is proportional to its length, how many meters long is the other piece of wire?

A. 8
B. 11
C. 13
D. 17
E. 20

Explanation: total weight=24kg,

Weight of one piece=16kg

So wt. Of remaining piece=24-16= 8kg

Now given weight of each piece is proportional to its length,
Length of 16kg piece= 34 mt.

Length of 1kg piece=34/16 mt.

Length of remaining piece of 8kg wt= (34/16)*8 mt
=17 mt.

Hence D is the correct answer.

Regards,
Atul Pandey

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