Time and Work: Men, Women, and Days Quiz — 5 Free Questions

📖 Read the passage, then answer the questions below

A construction site is building a single boundary wall. A team of 8 men can complete the entire wall working alone in 15 days, while a separate team of 12 women can complete the very same wall working alone in 20 days. Both figures describe the same fixed amount of work, so the total work can be measured in "man-days" from the men's figures, or "woman-days" from the women's figures.

The site supervisor wants to understand exactly how much of the wall a single man or a single woman completes per day, and to work out how long various mixed teams of men and women, working together, would take to complete the same wall, along with how much of the wall gets finished under different combinations and durations.

Question 1

How many days would 20 men, working alone with no women, take to complete the wall?

Question 2

What is the total amount of work, in woman-days, needed to complete the wall?

Question 3

How many days would 16 men, working alone with no women, take to complete the wall?

Question 4

What fraction of the wall do 4 men and 8 women, working together, complete in 5 days?

Question 5

Consider the following three statements: I. One man works exactly twice as fast, per day, as one woman. II. 4 men and 8 women, working together, finish the wall faster than 8 men working alone. III. 12 women, working alone, take exactly 20 days to complete the wall. Which of the statements is/are true?

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About Time and Work: Men, Women, and Days

CLAT's Quantitative Techniques section pairs a short data-rich scenario with several straightforward numeric questions -- here, time and work applied to a single invented construction site, so every answer can be worked out from the figures given, without any outside knowledge.

This quiz is built around one wall: the fact that 8 men can build it in 15 days and 12 women can build the very same wall in 20 days, fully worked out into individual daily work rates up front. Every question below is answered using those same rates -- nothing new is introduced question to question.

The twenty-four questions move through the kind of angles CLAT actually tests: individual daily rates, mixed-team completion times, mixed fractions of work done, ratios between men and women, and a multi-statement combination question.

Only five of the twenty-four questions are shown on any single attempt, so replaying this quiz brings a genuinely different mix of team combinations rather than the same five memorised by rote.