A roll of electric wire contains 88 m 75 cm of wire. If 46 m 55 cm of wire is used, how much wire is left in the roll? in words
Answers
ANSWER
The given two wires are 9m60cm and 5m12cm long. We know that 1m=100cm, therefore,
The length of the respective wires will be:
Aluminium wire =9×100+60=900+60=960cm
Copper wire =(5×100)+12=500+12=512cm
Now, let us factorize the length of the wires as follows:
960=2×2×2×2×2×2×3×5
512=2×2×2×2×2×2×2×2×2
The highest common factor (HCF) is 2×2×2×2×2×2=64
Hence, the maximum length that can be equally cut from each wire in such a way that the total length of each wire is exactly divisible by it is 64cm.
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