A can do a piece of work in 30 days and b in 40 days. A work for 10 days and then B join with A find how many days will the work be completed

Answers 1

Step-by-step explanation:

Given:

Time taken by A to complete the work = 30 days

Time taken by B to complete the work = 20 days

Concept used:

Divide the sum of money according to the ratio of efficiency

Total work = LCM

Efficiency = (Total work)/(Total time)

Calculations:

Total work = LCM(30 days, 20 days) = 60

Person Time Total work Efficiency

A 30 days 60 60/30 = 2

B 20 days 60 60/20 = 3

Ratio of A's wages and B's wages = 2 ∶ 3

Let the A and B's wages be 2x and 3x respectively

If B receives Rs. 6,000 more wages than A

So, Difference between B and A's wages = 3x – 2x = 6,000

⇒ x = 6000

Total wages of A = 2x = 2 × 6000 = Rs. 12000

∵ A's 30 days wages = 12000

∴ A's per days wages = 12000/30 = Rs. 400

∴ A's 12 days wages = Rs. 400 × 12 = Rs. 4800

∴ A's 12 days wages is Rs. 4,800

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