Four carpenters can individually complete a particular task in 3, 4, 5, and 7 hours, respectively. What is the maximum fraction of the task that can be completed in forty-five minutes if three of the carpenters work together at their respective rates? 5/9 Farmer A, B, C, and D A's rate: 1/3 job/hour B's rate: 1/4 job/hour C's rate: 1/5 job/hour D's rate: 1/7 job/hour By intuition we know that the three fastest farmers are A B and C.

As such (1/3 + 1/4 + 1/5)*(3/4) =? 47/80 or (D) _________________ Far better is it to dare mighty things, to win glorious triumphs, even though checkered by failure. Big Chocolate Cma Rar Extractor. Than to rank with those poor spirits who neither enjoy nor suffer much, because they live in a gray twilight that knows not victory nor defeat. I sometimes do these by taking total work as number of units which is LCM of individual times. LCM of 3,4,5,7 = 420. Garmin Mobile Xt Windows Ce 5 Download. Let total work be 420 units. Carpenter A does in 1 hour = 420/3 = 140 units.

Carpenter B does in 1 hour = 420/4 = 105 units. Carpenter C does in 1 hour = 420/5 = 84 units. Carpenter D does in 1 hour = 420/7 = 60 units. Clearly, 3 most efficient carpenters are A, B, C.

So if we want to find out Max fraction of work possible by 3 carpenters, we have to take these 3 carpenters only. They do a total of (140+105+84) = 329 units per hour Now, 45 minutes = 3/4 hours Work done in 1 hour = 329 units Work done in 3/4 hours = 329 * 3/4 = 987/4 Now this is what fraction of total work = (987/4)/420 = 47/80. Hence D (This is a time taking solution for this question no doubt. Method given by others is better.

But I am just trying to add some value by giving an alternate solution. This kind of method can be applied to such questions though, sometimes making them easier).

Visa entitlements have been slashed and pathways to permanent visas have been blocked for the occupations that currently make up more than half of the 457 workforce. According to analysis by SBS News, the occupations of more than 45,000 of the 81,000 457 visa holders in Australia at the end of 2016 will from now on only be eligible for the two-year visa, which - unlike the four-year visa - does not include access to permanent residency.

That’s on top of occupations for which approximately 7,000 visas are currently held in Australia being jettisoned from the scheme entirely. Cooks and restaurant managers will now only have access to the two-year visa - a group that currently represents more than 11,000 workers in Australia. Also on the list for two-year visas are Marketing Specialists, Sales and Marketing Managers, Resident Medical Officers, Resident Medical Officers, Recruitment Consultants, Management Consultants. The move to block permanent residency for these occupations is significant given those occupations on the shorter visa list will also be excluded from employer nominated permanent residency visas from March 2018, according to a released overnight.

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