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Time & Work · Question 18 of 61

Question 18

MediumOriginal question

Aditi can knit a blanket in 16 days. She knits for 4 days and then hands it to her grandmother, who finishes the rest in 18 days. How many days would the grandmother take to knit a whole blanket?

Options for question 18

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Aditi's 4 days = 416=14\frac{4}{16} = \frac{1}{4} of the blanket.

  2. The grandmother does 34\frac{3}{4} in 18 days.

  3. Whole blanket: 18÷34=2418 \div \frac{3}{4} = 24 days.

Worth noting

18 days is the time for only 34\frac{3}{4} of the blanket. 27 days comes from multiplying by 32\frac{3}{2} instead of 43\frac{4}{3}.

Concept
Finding a worker's full time from a part of the job
Typical time
70 s
Your time
—
The rule this testsWork rate and working together
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Ten questions from Time & Work, at your own pace.

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

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