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Time & Work · Question 5 of 61

Question 5

EasyOriginal question

Mohit has sanded 38\frac{3}{8} of a wooden deck in 6 days. Working at the same rate, how many days does he need for the whole deck?

Options for question 5

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. 38\frac{3}{8} of the deck takes 6 days.

  2. Whole deck = 6÷38=6×83=166 \div \frac{3}{8} = 6 \times \frac{8}{3} = 16 days.

Worth noting

10 days is only the time for the remaining 58\frac{5}{8}. Multiplying 6×386 \times \frac{3}{8} gives 2142\frac{1}{4}, which is upside down.

Concept
Scaling part of a job to the whole job
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.