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Time & Work · Question 42 of 61

Question 42

HardOriginal question

Kiran, Leela and Mustafa can build a stage alone in 10, 12 and 15 days. All three start together. Kiran leaves after 2 days, Leela leaves 3 days after that, and Mustafa finishes the stage. The ₹9,000 payment is shared by the work done. What is Mustafa's share?

Options for question 42

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. First 2 days, all three: 2×6+5+460=30602 \times \frac{6+5+4}{60} = \frac{30}{60}.

  2. Next 3 days, Leela + Mustafa: 3×5+460=27603 \times \frac{5+4}{60} = \frac{27}{60}. Total so far 5760\frac{57}{60}.

  3. Mustafa does the last 360\frac{3}{60} in 34\frac{3}{4} day, so he worked 5345\frac{3}{4} days.

  4. Mustafa's work = 234×115=2360\frac{23}{4} \times \frac{1}{15} = \frac{23}{60}; share = 2360×9000=₹3,450\frac{23}{60} \times 9000 = ₹3{,}450.

Worth noting

Check: Kiran did 12/6012/60 and Leela 25/6025/60, and 12+25+23=6012 + 25 + 23 = 60. ₹3,750 is Leela's share and ₹1,800 is Kiran's.

Concept
Wages by work done across three phases
Typical time
120 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.