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Question

# The ratio of the length of Rope A to the length of Rope B is 3:4.The ratio of the length of Rope C to the length of Rope B is 7:6. If the length of the longest rope is 84 cm, find the total length of the four ropes.

A
210 cm
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B
225 cm
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C
240 cm
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D
200 cm
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Solution

## The correct option is A 210 cmLet the length of Rope A be 3x and length of Rope B be 4x.Given than LengthofRopeCLengthofRopeB=76⇒ Length of Rope C76×LengthofRopeB=76×4x=14x3∴ Rope C is the longest rope.14x3=84⇒x=18∴ Length of Rope A = 3 X 18=54 cmLength of Rope B = 4 X 18 = 72 cmhence, total length of three ropes = 84+ 54+ 72= 210 cm

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