Ravi can complete one-fourth of the total work in 15 days, Chavi can complete one-third of the total work in 18 days, Dhani can complete half of the total work in 24 days. In how much time can Ravi, Chavi and Dhani complete three-fourth of the work together?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. days .
Ravi: 1/4 work in 15 days → Full work = 15 × 4 = 60 days → Rate = 1/60
Chavi: 1/3 work in 18 days → Full work = 18 × 3 = 54 days → Rate = 1/54
Dhani: 1/2 work in 24 days → Full work = 24 × 2 = 48 days → Rate = 1/48
Combined rate = 1/60 + 1/54 + 1/48
LCM = 4320
⇒ (72 + 80 + 90)/4320 = 242/4320 = 121/2160
Time for 3/4 work = (3/4) ÷ (121/2160)
= (3/4) × (2160/121) = 1620/121 ≈ days