A can do of 2/5 a certain work in 8 days and B can do 1/3 of the same work in 10 days working together they will complete the work in

Subject:
Math
Author:
rickycizd
Created:
1 year ago

Answers 1

Step-by-step explanation:

Let, the total work be 100 units

Hence, (2/5) × 100 = 40 units

A can do 40 units in 10 days

Also, (1/3)× 100 = 50 units

B can do 50 units in 10days

Efficiency of A = 40/10 = 4 units/day

Efficiency of B = 50/10 = 5 units/day

Efficiency of (A + B) = 9 units/day

They both work together for 5 days

Work done in 5 days = 9 units/day × 5 days = 45 units

Remaining work = Total work – Work done

⇒ Remaining work = 100 – 45 = 55 units

Time taken to complete the work alone = 55/ 5 = 11 days

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