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A does 25% less work than B. If A can complete a piece of work in 7½ hours then B can do it in1). 5.625 hours2). 6 hours3). 4.625 hours4). 5 hours |
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Answer» A takes $(\frac{{15}}{2}\;)$hours to COMPLETE the work ∴ Work done by A in one HOUR = 2/15 Let B TAKE ‘x’ hours to complete the work ∴ Work done by B in 1 hour = 1/x ∴ According to the given condition, $(\begin{array}{l} \frac{1}{x} - 0.25 \times \LEFT( {\frac{1}{x}} \right) = \;\frac{2}{{15}}\\ \therefore \;\frac{1}{x}\; \times \left( {1 - \;\frac{1}{4}} \right) = \;\frac{2}{{15}} \END{array})$ ∴ 2x/15 = 3/4 ∴ x = 5.625 ∴ B can complete the work in 5.625 hours. |
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