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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 cm
Let the length of Rope A be 3x and length of Rope B be 4x.
Given than LengthofRopeCLengthofRopeB=76
Length of Rope C
76×LengthofRopeB=76×4x=14x3
Rope C is the longest rope.
14x3=84x=18
Length of Rope A = 3 X 18=54 cm
Length of Rope B = 4 X 18 = 72 cm
hence, total length of three ropes = 84+ 54+ 72= 210 cm

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