Question 54

If A, B and c can respectively complete a piece of work in 20, 24 and 36 days respectively, how many days will they take to complete the work, if they work together ?

Solution

A=20 days, B = 24 days and C = 36 days

Total work = L.C.M of 20, 24, 36 = 360 units

A's 1 day work = $$\frac{360}{20}=18 units$$

B's 1 day work = $$\frac{360}{24}=15 units$$

C's 1 day work = $$\frac{360}{36}= 10 units$$

A+B+C will take to complete the work = $$\frac{360}{43}=8\frac{16}{43}$$

Create a FREE account and get: