A and B can complete a work together in 9 days. If A alone can do it in 12 days, then, B alone can do one-third of the same work in __________days.
12
A + B together finish the work in 9 days, so their combined one-day work is 1/9.
A alone finishes it in 12 days, so A’s one-day work is 1/12.
B’s one-day work = 1/9 − 1/12 = (4 − 3)/36 = 1/36. So B alone finishes the full work in 36 days.
One-third of the work takes B 36/3 = 12 days.
Hence, 12.
Important Questions from Time and work
A person can complete 20% of work in 8 days and another person y can complete 25% of the same work in 6 days. If they work together, in how many days will 40% of the work be completed?
P works thrice as fast as Q, whereas P and Q together can work four times as fast as R. If P, Q and R together work on a job, in what ratio should they share the earnings?
There are three pillars X, Y and Z of different heights. Three spiders A, B and C start to climb on these pillars simultaneously. In one chance, A climbs on X by 6 cm but slips down 1 cm. B climbs on Y by 7 cm but slips down 3 cm. C climbs on Z by 6.5 cm but slips down 2 cm. If each of them requires 40 chances to reach the top of the pillars, what is the height of the shortest pillar?
There is an order of 19000 quantity of a particular product from a customer. The firm produces 1000 quantity of that product per out of which 5% are unfit for sale. In how many days will the order be completed?
Ram and Shyam work on a job together for four days and complete 60% of it. Ram takes leave then and Shyam works for eight more days to complete the job. How long would Ram take to complete the entire job alone?
