Question 99
Three persons A, B and C together complete a work in 3 days; B and C together complete the work in 6 days; and A and C together complete the same work in $$4\frac{1}{2}$$ days. Then the number of days in which C alone can complete the work is
Solution
Let the total work be 18 units and the capacities of A,B,C be a,b,c units/day respectively.
Hence, a+b+c = 6 and b+c = 3 ==> a = 3 units/day
Also, a + c = 4 hence, c = 1 unit/day.
Hence, time required by C alone to complete all the work = 18 days
Get AI Help
Create a FREE account and get:
- Download Maths Shortcuts PDF
- Get 300+ previous papers with solutions PDF
- 500+ Online Tests for Free
