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Time & Work · Question 31 of 61

Question 31

MediumOriginal question

Rajesh works three times as fast as his trainee Sameer. Together they can service all the fans in a hostel in 14 days. How many days would Sameer take alone?

Options for question 31

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Let Sameer do 1 unit per day; Rajesh does 3 units. Together: 4 units per day.

  2. Total work = 4×14=564 \times 14 = 56 units.

  3. Sameer alone: 56÷1=5656 \div 1 = 56 days.

Worth noting

182318\frac{2}{3} days is Rajesh's time. 42 days multiplies the together time by 3 instead of by 4 — the together rate is 3+1=43 + 1 = 4 shares.

Concept
Efficiency ratio combined with total work
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.