Question
βMβ and βNβ together can do a work in 20 days.
If βMβ increases his efficiency by 25% while βNβ decreases his efficiency by 50%, then the time taken to complete the work remains unchanged. Find the ratio of efficiencies of βMβ and βNβ, respectively.Solution
Let the efficiency of βMβ and βNβ be βxβ units/day and βyβ units/day, respectively. So, total work = {(x + y) Γ 20} units After change in efficiencies, Also, total work = (1.25x + 0.5y) Γ 20 So,
1.25x + 0.5y = x + y Or,
0.25x = 0.5y Or,
x : y = 2 : 1 So, ratio of efficiency of βMβ and βNβ = 2 : 1
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