The work done by (3x - 1) men in (2x + 3) days and the work done by (3x - 4) men in (2x + 1) days are in the ratio 4 : 3. Find the value of x.
Ratio Proportion
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Question

The work done by (3x - 1) men in (2x + 3) days and the work done by (3x - 4) men in (2x + 1) days are in the ratio 4 : 3. Find the value of x.

KnowledgeBoat · Accepted Answer

Amount of work done by (3x - 1) men in (2x + 3) days = (3x - 1)(2x + 3), Amount of work done by (3x - 4) men in (2x + 1) days = (3x - 4)(2x + 1) According to question, 3(3x − 1)(2x + 3) = 4(3x - 4)(2x + 1) 3(6x2 + 9x − 2x − 3) = 4(6x2 + 3x − 8x − 4) 3(6x2 + 7x − 3) = 4(6x2 − 5x − 4) 18x2 + 21x − 9 = 24x2 − 20x − 16 18x2 − 24x2 + 21x + 20x − 9 + 16 = 0 −6x2 + 41x + 7 = 0 6x2 − 41x − 7 = 0 6x2 - 42x + x - 7 = 0 6x(x − 7) + 1(x − 7) = 0 (6x + 1)(x − 7) = 0 6x + 1 = 0 or x - 7 = 0 x = − or x = 7 x − as that will make number of men negative which is not possible. Hence, value of x = 7.

Mathematics

The work done by (3x - 1) men in (2x + 3) days and the work done by (3x - 4) men in (2x + 1) days are in the ratio 4 : 3. Find the value of x.

Ratio Proportion

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