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Time & Work · Question 34 of 61

Question 34

MediumOriginal question

Ishita is 50% more efficient than Farooq. Together they can catalogue a library in 18 days. How many days would Ishita take alone?

Options for question 34

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Let Farooq do 2 units per day; Ishita does 3 units. Together: 5 units per day.

  2. Total work = 5×18=905 \times 18 = 90 units.

  3. Ishita alone: 90÷3=3090 \div 3 = 30 days.

Worth noting

45 days is Farooq's time. 27 days (18×1.5)(18 \times 1.5) wrongly treats efficiency as if it were time.

Concept
Efficiency ratio with a combined time
Typical time
70 s
Your time
—
The rule this testsEfficiency and wages
Practise this chapter →

Ten questions from Time & Work, at your own pace.

Practise this chapter →

Ten questions from Time & Work, at your own pace.