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A rope 91 cm long is to be divided into two parts in the ratio of 3 : 4. Find the length of each part.

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40 cm, 51 cm

30 cm ,61 cm

39 cm, 52 cm

13 cm, 78 cm

answer is A.

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Detailed Solution

Given: Ratio = 3:4

Let the length of the first and second part of the rope be 3x and 4x respectively.

Therefore, 3x + 4x = 91

⇒ 7x = 91

⇒ x = 13

∴ Length of 1^st part of the rope = 3x = 3(13) = 39 cm

Length of 2^nd part of the rope = 4x = 4(13) = 52 cm

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