Question : A can do one and a half as much work as B can do in one day. B alone can do a piece of work in 18 days. They together can finish that work in:
Option 1: $10\frac{1}{5}$ days
Option 2: $11\frac{1}{5}$ days
Option 3: $5\frac{1}{5}$ days
Option 4: $7\frac{1}{5}$ days
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Correct Answer: $7\frac{1}{5}$ days
Solution : Given: Time taken by B = 18 days B's one day work = $\frac{1}{18}$ A's one day work = $1\frac{1}{2}$ of B's = $\frac{3}{2}×\frac{1}{18}$ = $\frac{3}{36}$ = $\frac{1}{12}$ So, (A+B)'s one day work = $\frac{1}{12}+\frac{1}{18}$ = $\frac{3+2}{36}$ = $\frac{5}{36}$ So, the time taken by A and B together to finish the work = $\frac{36}{5}$ = $7\frac{1}{5}$ Hence, the correct answer is $7\frac{1}{5}$ days.
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Question : Riya alone can complete a piece of work in 6 days while Siya alone can do the same work in 9 days. If they both work together, then how many days will be required to finish the work?
Option 1: $\frac{45}{13}$
Option 2: $\frac{18}{5}$
Option 3: $\frac{33}{17}$
Option 4: $\frac{55}{16}$
Question : Avi alone can do a piece of work in 60 days while Prakash alone can do it in 80 days. In how many days will they finish it together?
Option 1: $\frac{250}{6}$ days
Option 2: $\frac{270}{6}$ days
Option 3: $\frac{240}{7}$ days
Option 4: $\frac{140}{6}$ days
Question : A alone can do a work in 4 days, which B alone can do in 6 days. In how many days they together can do it?
Option 1: $\frac{7}{12}$
Option 2: $\frac{12}{7}$
Option 3: $\frac{12}{5}$
Option 4: $\frac{5}{12}$
Question : A piece of work can be completed by P and Q together in 24 days, and the same piece of work can be completed by R alone in 60 days. If P and R together can do the same work in 36 days, then find the time taken by Q to complete this piece of work alone.
Option 1: $8\frac{4}{5}$days
Option 2: $29\frac{9}{13}$days
Option 3: $3\frac{6}{7}$days
Option 4: $32\frac{8}{11}$days
Question : A alone can do a piece of work in 30 days. He worked at it for 5 days and then B alone finished the remaining work in 10 days. In how many days B alone can finish the entire work?
Option 1: 12 days
Option 2: 15 days
Option 3: 10 days
Option 4: 18 days
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