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Three persons A, B and C can do a piece of work 20, 15 and 30 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?1). 18 days2). 10 days3). 15 days4). 12 days |
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Answer» The work DONE by A, B and C in 1 day respectively = $(\frac{1}{{20}},\frac{1}{{15}},\frac{1}{{30}})$ The work done by A in 2 days = $(\frac{1}{{20}}\;)$× 2 = $(\frac{1}{{10}})$ The work done in 1 day by A, B and C together = $(\frac{1}{{20}}\;)$+ $(\;\frac{1}{{15}}\;)$ + $(\;\frac{1}{{30\;}})$ = $(\frac{9}{{60}})$ The total work done in span of 3 days = $(\frac{1}{{10}})$+$(\frac{9}{{60}})$ = $(\frac{1}{4})$ ¼ The of the total work is done in 3 days. So time to COMPLETE the work = 12 days. |
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