A, B and C together can complete a work in 20 days. A and B together can complete the same work in 25 days. C alone can complete (4/9) of the same work in how many days?
Show answer & explanation
Correct answer: B
Explanation
Given:
A + B + C ⇒ 20 days
A + B ⇒ 25 days
According to the formula:
Work Rate = 1 / Time
Rate of (A + B + C) = 1/20
Rate of (A + B) = 1/25
Rate of C = 1/20 − 1/25
= (5 − 4)/100
= 1/100
Therefore, C alone will complete the entire work in 100 days.
Time required for (4/9) of the work = (4/9) × 100 = 400/9 days