Multiple choice

Rajesh and Suresh completes a work in 45 days and 75 days respectively. Efficiency of Mohan is 40% more than the efficiency of Rajesh. Working all together they will complete the whole work in how many days?

  1. 20 days

  2. 24 days

  3. 18 days

  4. 15 days

  5. 12 days
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Rajesh's 1 day work = 1/45. Suresh's 1 day work = 1/75. Mohan is 40% more efficient than Rajesh, so Mohan's 1 day work = (1/45) × 1.4 = 14/450 = 7/225. Combined work = 1/45 + 1/75 + 7/225. LCM = 225. Combined = (5+3+7)/225 = 15/225 = 1/15. Therefore, working together they complete the work in 15 days.

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