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Class 10 > Learn Mathematics > The work done by (x - 3) men in (2x + 1) days and the...
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The work done by (x - 3) men in (2x + 1) days and the work done by (2x + 1) men in (x + 4) days are in the ratio of 3 : 10. Find the value of x?

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Let the amount of work done by 1 man in 1 day is w. Then the work done by (x - 3) men in (2x + 1) days=(x - 3)(2x + 1)w. And the work done by (2x + 1) men in (x + 4) days=(2x + 1)(x + 4)w. By the given condition, / = 3 : 10 Simplifying: (x - 3) / (x + 4) = 3 / 10 --> 10x - 30=3x + 12 --> 10x...
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Let the amount of work done by 1 man in 1 day is w. Then the work done by (x - 3) men in (2x + 1) days=(x - 3)(2x + 1)w. And the work done by (2x + 1) men in (x + 4) days=(2x + 1)(x + 4)w. By the given condition, [(x - 3)(2x + 1)w] / [ (2x + 1)(x + 4)w] = 3 : 10 Simplifying: (x - 3) / (x + 4) = 3 / 10 --> 10x - 30=3x + 12 --> 10x - 3x=30 + 12 --> 7x=42 --> x = 42/7 = 6 Answer: x = 6. read less
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Always remember a formula for these type of questions where work no. of men and no. of days /working hours are given:- lhs = rhs m1 * d1* t1 / work done 1 = m2* d2* t2 / work done 2 here * = multiply and / = divide. ...
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Always remember a formula for these type of questions where work no. of men and no. of days /working hours are given:- lhs = rhs m1 * d1* t1 / work done 1 = m2* d2* t2 / work done 2 here * = multiply and / = divide. m=men d= days As work done ratio by 1 to 2 is 3:10 just put the value (x-3)*(2x+1) /3 = (2x+1)*(x+4) /10. on solving 10x-30= 3x+12, 7x=42 Therefore x=6. read less
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