Twenty women can do a work in sixteen days. Sixteen men can ...

Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?

Course Name: Quantitative Aptitude

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3 : 4
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5 : 3
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1 Discuss	A can do a piece of work in 5 days less than the time taken by B to do it. If both of them together take ${ \text{11}}\frac{1}{9}$ days, then the time taken by B alone to do the same work (in days ) is? 1] 15 days 2] 20 days 3] 25 days 4] 30 days Solution
10 Discuss	A can do in one day three times the work done by B in one day. They together finish $\frac{2}{5}$ of the work in 9 days. The number of days by which B can do the work alone is =? 1] 90 days 2] 120 days 3] 100 days 4] 30 days Solution
2 Discuss	If the expenditure of gas on burning 6 burners for 6 hours a day for 8 days is Rs. 450, then how many burners can be used for 10 days at 5 hours a day for Rs. 625 ? 1] 12 2] 16 3] 4 4] 8 Solution
3 Discuss	Five men are working to complete a work in 15 days. After five days 10 women are accompanied by them to complete the work in next 5 days. If the work is to be done by women only, then in how many days could the work be over if 10 women have started it ? 1] 10 days 2] 12 days 3] 15 days 4] 18 days Solution
4 Discuss	A completed $\frac{7}{{10}}$ of work in 15 days, then he completed the remaining work with the help of B in 4 days. In how many days A and B can complete the entire work together? 1] $10\frac{1}{2}{ \text{days}}$ 2] $12\frac{2}{3}{ \text{days}}$ 3] $13\frac{1}{3}{ \text{days}}$ 4] $8\frac{1}{4}{ \text{days}}$ Solution
5 Discuss	There are three boats A, B and C, working together they carry 60 people in each trip. One day an early morning A carried 50 people in few trips alone. When it stopped carrying the passengers B and C started carrying the people together. It took a total of 10 trips to carry 300 people by A, B and C. It is known that each day on an average 300 people cross the river using only one of the 3 boats A, B and C. How many trips it would take to A to carry 150 passengers alone? 1] 15 2] 30 3] 25 4] 10 5] None of these Solution
6 Discuss	A and B together can do a job in 2 days; B and C can do it in 4 days; A and C in ${ \text{2}}\frac{2}{5}$ days. The number of days required for A to do the job alone is = ? 1] 1 2] 3 3] 6 4] 12 Solution
7 Discuss	A started a ,work and left after working for 2 days. Then B was called and he finished the work in 9 days. had A left the work after working for 3 days, B would have finished the remaining work in 6 days. In how many days can each of them, working alone, finish the whole work ? 1] 2.5 days, 7.5 days 2] 5 days, 8.5 days 3] 5 days, 15 days 4] None of these Solution
8 Discuss	A does half as much work as B in one-sixth of the time. If together they take 10 days to complete a work. How much time shall B alone take to do it ? 1] 30 days 2] 40 days 3] 50 days 4] 70 days Solution
9 Discuss	A company employed 200 workers to complete a certain work in 150 days. If only $\frac{1}{4}$ th of the work had been done in 50 days, then in order to complete the whole work in time, the number of additional workers to be employed were? 1] 100 2] 600 3] 300 4] 200 Solution
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