A can complete a piece of work in the same amount of time as B and C together take to complete the same work. A and B together can complete that work in 10 days and C alone can complete it in 50 days.
How many days will it take for B to complete the work alone?

Q. Choose the correct answer from the alternatives given.
A and B can do a piece of work in 72 days. B and C can do it in 120 days. A and C can do it in 90 days. In how many days all the three together can do the work?

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Choose the correct answer from the alternatives given.A can complete a work in m days and B can complete it in n days. How many days will it take to complete the work if both A and B work together?

The correct option is D (mnm+n)daysLet the total work be mn units. [LCM of m and n]A does =mnm = n units/dayB does =mnn = m units / dayA and B together do = (n + m) units/dayHence, the work will get completed by them in mnm+n days.

Choose the correct answer from the alternatives given.
A can complete a work in m days and B can complete it in n days. How many days will it take to complete the work if both A and B work together?

The correct option is D $(\frac{m n}{m + n})$ days
Let the total work be mn units. [LCM of m and n]
A does = $\frac{m n}{m}$ = n units/day

B does = $\frac{m n}{n}$ = m units / day
A and B together do = (n + m) units/day
Hence, the work will get completed by them in $\frac{m n}{m + n}$ days.