1.

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

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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