Question

If A can finish a work in 12 days and B can finish a work in 15 days, find how many days will be
required by both A and B to finish the work if they work together?
Answer fast​

Answer 1

Answer:

working together, A and B can complete the whole work in $6\frac{2}{3}$ days

Step-by-step explanation:

A can finish a work in 12 days

∴ Each day A can complete $\frac{1}{12}$ part of the work.

B can finish that work in 15 days

∴ Each day B can complete $\frac{1}{15}$ part of the work.

∴ A and B working together,

each day they can complete $(\frac{1}{12} + \frac{1}{15})$ part of the work $= \frac{5 + 4}{60}$ part of the work.

∴ working together, A and B can complete the whole work in $\frac{60}{9}$ days

$=6\frac{6}{9}$ days $=6\frac{2}{3}$ days