Question

A can do 1/5 of the work in 12 days and B can do 1/6 of the work in 15 days, in how many days both A and B can do together?

Answer 1

Step-by-step explanation:

if you find it is correct please give heart

Answer 2

Given

• ⅕ of the work is done by A in 12 days
• ⅙ of the work is done by B in 15 days

To find

• In how many days A and B can do together

Solution

• Whole work done by A = 12 × ⁵⁄₁ = 60 days
• Whole work done by B = 15 × ⁶⁄₁ = 90 days

∴

• A's 1 day work = ¹⁄₆₀
• B's 1 day work = ¹⁄₉₀
• (A + B)'s 1 day work = ¹⁄₆₀ + ¹⁄₉₀ = ⁵⁄₁₈₀ = ¹⁄₃₆
• Whole work done by A and B = 36

☯ ∴ Both A and B can together do the work in 36 days.