A) 210 cm
B) 225 cm
C) 185 cm
D) 200 cm
Correct Answer: A
Solution :
Let the length of Rope A be 3x and length of Rope 8 be 4x. Given that. \[\frac{Length\,\,of\,\,Rope\ C}{Length\,\,of\,\,Rope\,B}=\frac{7}{6}\] \[\Rightarrow \] Length of Rope C \[=\frac{7}{6}\times \] Length of Rope \[B=\frac{7}{6}\times 4x=\frac{14x}{3}\] \[\therefore \] Rope C is the longest rope. \[\Rightarrow \] \[\frac{14x}{3}=84\Rightarrow x=18\] \[\therefore \] Length of Rope \[A=3\times 18=54cm\] Length of Rope \[~B=4\times 18=72cm\] Hence, total length of three ropes \[=84+54+72=210\text{ }cm\]You need to login to perform this action.
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