The ratio of the efficiencies of A, B and C is 7 : 5 : 4. Working together, they can finish a work in 35 days.if A and B work together for 28 days. The remaining work will be completed (in days) by C alone?
Show answer & explanation
Correct answer: B
Explanation
Correct Answer is option 2 i.e. 56
|
Understanding |
Application |
|
Work efficiency Total work = Efficiency × Time Ratio of efficiencies of A, B and C = 7 : 5 : 4 Suppose the efficiencies are 7x, 5x and 4x |
Working together, they can complete task in 35 days: Total work = (7x + 5x + 4x) × 35 = 560x Work completed by A and B together in 28 days = (7x + 5x) × 28 = 336x Remaining work = 560x – 336x = 224x Time in which C will complete remaining work = 224x/4x = 56 days |