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Time & Work · Question 2 of 61

Question 2

EasyOriginal question

Aarav can tile a kitchen floor in 20 days and Gurpreet can tile the same floor in 30 days. If they work together, in how many days will the floor be tiled?

Options for question 2

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Aarav's rate = 120\frac{1}{20} of the floor per day; Gurpreet's = 130\frac{1}{30}.

  2. Together: 120+130=3+260=112\frac{1}{20} + \frac{1}{30} = \frac{3 + 2}{60} = \frac{1}{12} per day.

  3. So they need 12 days.

Worth noting

Add the RATES, never the days. 25 days is the average of the two times and 50 is their sum — both ignore that working together is faster than either alone.

Concept
Combined rate of two workers
Typical time
40 s
Your time
—
The rule this testsWork rate and working together
Practise this chapter →

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

Practise this chapter →

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