EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Time & Work · Question 11 of 61

Question 11

MediumOriginal question

Three volunteers are cleaning a beach. Priya alone would take 10 days, Tenzin 15 days and Omar 30 days. How many days will the job take if all three work together?

Options for question 11

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Rates per day: 110,115,130\frac{1}{10}, \frac{1}{15}, \frac{1}{30}.

  2. With LCM 30: 330+230+130=630=15\frac{3}{30} + \frac{2}{30} + \frac{1}{30} = \frac{6}{30} = \frac{1}{5}.

  3. All three together finish in 5 days.

Worth noting

6 days is what Priya and Tenzin need without Omar. Every extra worker, however slow, shortens the time.

Concept
Combined rate of three workers
Typical time
70 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.