Time & Work · Question 14 · Hard

Time & Work question 14

Gita is 50% more efficient than Hema. Hema alone can finish a job in 45 days. Gita works alone for the first 10 days, then Hema joins her. How many days in total does the job take?

  1. 24 days
  2. 22 days
  3. 18 days
  4. 20 days
Answer and explanation

Answer: B. 22 days

Explanation: Gita's rate = 1.5 × 1/45 = 1/30, so in 10 days she does 1/3. The remaining 2/3 at 1/30 + 1/45 = 1/18 per day takes 12 days. Total = 10 + 12 = 22 days.

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