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00To do a certain task Bhuvan would take 3 times as long as Abir and Varun together; and Varun would takes 4 times as long as Abir and Bhuvan together. Three of them together can complete the task in 5 days. How much time is taken by Bhuvan and varun to complete the task?
14\frac{1}{2} \text{ days }
14\frac{1}{2} \text{ days }
13\frac{1}{3} \text{ days }
13\frac{1}{3} \text{ days }
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Time:
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00If 5 men and 5 women work together then they can finish a work in 5 days but if 5 women work alone then they take 40/3 more days than the time required by 5 men. Find efficiency of one woman is how much percentage less than one man?
PrepInsta Explanation
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Let the days taken by 5W = x and 5M = y.
One day work of 5W = \frac{1}{x} and that of 5M = \frac{1}{y}
\frac{1}{x} + \frac{1}{y} = \frac{1}{5}
5 (x + y) = xy --------(1)
x = \frac{40}{3}+y
3 (x – y) = 40 -------(2)
Multiplying eq 1 and 2
3 (x² – y²) = 8xy
Dividing by y²
\frac{3x^{2}}{y^{2}} - \frac{8x}{y} - 3 = 0
Let \frac{x}{y} = t
3t² – 8t – 3 =0
t = 3
So ratio of efficiency of W : M = 1 : 3
Efficiency of Women = 66.67% less than that of Men
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Time:
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00A can-do 3/5th of work in 15 days. The efficiency of B is 25% more than that of A. Both A and B started working together and left the work after five days. C completed the remaining work in 11 days. The efficiency of C is what percent more/less than that of A?
PrepInsta Explanation
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A does 3/5th of work in 15 days.
Time Taken by A to complete the work
=5\times \frac{15}{3} = 25 \text{ days }
Efficiency of B is 25% more than that of A.
If Work done by A in one day = 4, then work done by B in one day = 5
Ratio of time taken by A and B = 5 : 4
Time taken by B to complete the work
=4\times \frac{25}{5} = 20 \text{ days }
A and B worked for five days.
Total work Completed by A and B in 5 days
= 5 \left( \frac{1}{25} + \frac{1}{20} \right)<br />
=\frac{1}{5} + \frac{1}{4} = \frac{9}{20}
Work Left = \frac{11}{20} which is done by C in 11 days.
Time taken by C to complete the whole work =\frac{20}{11} \times{11}<br />
C = 20 days<br />
Ratio of Efficiency of A and C =\frac{20}{25}
Efficiency of C is 25 % more than that of A.
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Time:
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00Amit and Sujit together can complete an assignment of Data entry in 5 days. Sujit’s speed is 80% of Amit’s speed and the total key depressions in the assignment are 5,76,000. What is Amit’s speed in key depressions per hour if they work for 4 hours a day?
PrepInsta Explanation
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Amit + Sujit = 5 Days
Let Amit = x Days
Therefore, Sujit = \frac{80x}{100} = \frac{4x}{5} Days
Now,
[larex]\frac{1}{x} + \frac{5}{4x} = \frac{1}{5}[/latex]
x = \frac{45}{4}
∴ Amit = x = \frac{45}{4}, Sujit = x = \frac{45}{4}\times \frac{4}{5} = 9
∴ Ratio of their work = 5:4
∴ Required Key Depression per hour a day = \frac{5}{9}\times 576000\times \frac{1}{4}\times \frac{1}{5}
= 16000
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["0","40","60","80","100"]
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