If A and B together can
complete a work in 4 days, B and C together in 6 days, C and A together in 5
days, then working individually, who will finish the work in the least time and
in how many days?
Answer: A, 120/17 days
Explanation:
Let the rates at which A,
B and C work be a, b and c respectively.
Therefore,
a + b = ΒΌ
b + c = 1/6
c + a = 1/5
Solving for a, b and c,
we get
a = 17/120
b = 13/120
c = 7/120
As we can see, the rate
at which A works is the greatest. Hence A would finish the work in the least
time and in 120/17 days.