CAT 2022 Time and Work Question (Medium)

Question

A group of people worked on a project. They finished of the project by working 7 hours a day for 10 days. Thereafter, 10 people left the group and the remaining people finished the rest of the project in 14 days by working 10 hours a day. Then the value of is

Accepted Answer

Step 1 Let total work 1 unit Work done in first phase 35 0.35 units Work done in second phase 1 0.35 0.65 units Assume each person does 1 unit of work per hour. Step 2 First phase work people 7 hours day 10 days hours of work So, units Oops! That s not correct. Let s redefine units. Let total work u

CAT 2022

Quantitative

Time and Work

Medium

A group of $N$ people worked on a project. They finished $35 \%$ of the project by working 7 hours a day for 10 days. Thereafter, 10 people left the group and the remaining people finished the rest of the project in 14 days by working 10 hours a day. Then the value of $N$ is

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