Subject
Quantitative Aptitude
Topic
Time and Work
Max’s efficiency is 2/5th Kendrick’s efficiency. Max starts off three pieces of work and works for a day alone and Kendrick joins him for the next half a day. As Max leaves after that, Kendrick bucks up and doubles his efficiency. If he can finish the remaining work alone in 4 hours, then in how much time could Max and Kendrick together do one piece of work at initial efficiency?
Max’s efficiency is 2/5th Kendrick’s efficiency. Max starts off three pieces of work and works for a day alone and Kendrick joins him for the next half a day. As Max leaves after that, Kendrick bucks up and doubles his efficiency. If he can finish the remaining work alone in 4 hours, then in how much time could Max and Kendrick together do one piece of work at initial efficiency?
ক)
\(3\frac{1}{{25}}\) daysখ)
1 daysগ)
\(1\frac{5}{{12}}\) hoursঘ)
5 daysঙ)
None of theseExplanation
Let Kendrick be able to complete one piece of work in x days. ⇒ In one day, work done by Kendrick alone = 1/x ---(1) ∴ Work done by Max in 1 day = (2/5x) ---(2) (given) Work done by Max and Kendrick in 1 day = (1/x) + (2/5x) = 7/5x ---(3) ∴ Work done by Max and Kendrick in half a day = 7/10x ---(4) From 2 and 4, Total work completed at the end of 1.5 days = (2/5x) + (7/10x) = 11/10x ∴ Remaining work =3- (11/10x) = (30x – 11)/ 10x If Kendrick doubles his efficiency in a day, Work done by Kendrick in 1 day = 2/x If it takes 4 hours (i.e. 1/6th of a day) for him to finish remaining work, (1/6) × (2/x) = (30x – 11)/ 10x ⇒ x = 43/90 ∴ Work done by Kendrick and Max together in 1 day = 7/5x = (7 × 90)/(5 × 43) = 126/43 ∴ if it takes n days for them to finish a single piece of work together,Related questions
The number of days in which A and B together can finish a piece of work is 12 days less than the time taken by A alone and 27 days less than the time taken by B alone to finish the work. If A and B completed the work in 15 days with the help of C and got a total compensation of Rs 3000 for the work, then what is the share of C?5 men and 5 women earn Rs. 660 in 3 days. 10 men and 20 women earn Rs. 3500 in 5 days. In how many days can 6 men and 4 women earn Rs. 1060?Two pipes can fill a tank in 5 minutes and 6 minutes respectively and a third pipe empties the full tank in 10 minutes. How much time will be taken to fill the tank if all pipes open simultaneously?8 men can complete a piece of work in 20 days.8 women can complete the same work in 32 days.In how many days will 5 men and 8 women together complete the same work?Two pipes fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 min. The capacity of the tank is?5 men and 2 boys working together can do four times as much work as a man and a boy.Working capacities of a man and a boy are in the ratio:P alone can complete a piece of work in 6 days and Q alone can complete the same piece of work in 12 days. In how many days can P and Q together complete the same piece of work?Jason won some goldfish at the state fair. During the first week 1/5 of them died and during the second week, 3/8 of those still alive at the end of the first week died. What fraction of the original goldfish were still alive after two weeks?