A is 50% more efficient than B and C is 40% less efficient than B. Working together, they can complete a task in 10 days. In how many days will A alone complete 150% of that task?
Efficiency of B =Â $$\frac{1}{x}$$
Efficiency of A = $$\frac{1.5}{x}$$
Efficiency of C = $$\frac{0.6}{x}$$
Total efficiency = $$\frac{1}{x}$$ +Â $$\frac{1.5}{x}$$ +Â $$\frac{0.6}{x}$$
=Â Â $$\frac{1}{x}$$ (1+Â $$\frac{3}{2}$$Â + $$\frac{3}{5}$$)=Â $$\frac{31}{10x}$$ =Â $$\frac{1}{10}$$
x= 31
A's efficiency =Â $$\frac{1.5}{31}$$
150% of that task will be completed in $$\frac{150}{100}$$ / $$\frac{15}{310}$$ = 31 days
So the answer would be option a)31 days.
Create a FREE account and get: