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A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is?
If A can complete a work in 30 days and B can complete the same work in 20 days, then in how many days will A and B together complete the same work?
A town with a population of 2000 has provisions for 30 days. After 10 days, 500 more men are added. How long will the food last at the same rate?
A is thrice as fast as B and is therefore able to finish a work in 60 days less than B. The time in which they can do it working together is:
Let B finish the work in 3x days
∴ A will finish the work in x days
Also 3x-x=60
x=30 days.
∴ A's one day work =1/30
B"s one day work=1/90
(A+B)'s one day work=1/30+1/90=4/90
∴ Time taken to Finish the work
while (A+B) working together = 90/4
=45/2 days.
A man digs a trench in 3 days, another man can dig it in 5 days and a third man can dig it in 6 days working alone. How much time will they take to dig it together?
If four evaluators can examine a certain number of answer books in 8 days by working 5 hours a day, then for how many hours a day would two evaluators have to work in order to examine twice the number of answer books in 20 days?
Given,
4 examiners can examine certain number of books in 8x5 = 40 hours
Let 2 examiners examine the same order of answer books in 10 days by working x hours
therefore, 4 examiners examine the same number of books in 5x hours
therefore, 5x = 40 ⇒ x=8 hours.
A and B together can complete a work in 3 days. They start together. But, after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in
A & B can complete a piece of work in 12 days, B & C can complete it in 14 days and C & A can complete it in 18 days. In how many days will they complete it together?
A man is twice as fast as a woman and a woman is twice as fast as a boy. If all of them i.e. a man, a woman and a boy can finish together in 4 days, in how many days a boy shall do it alone?
1 man = 2 women = 4 boys
1 man + 1 woman + 1 boy = 4 boys + 2
boys + 1 boy
= 7 boys.
Now 7 boys can do a job in 4 days.
1 boy can do a job in i.e. 28 days
A mother is 3 times efficient than her daughter. If the daughter completes a piece of work in 15 days, how long will it take for both mother and daughter to complete the same work?
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