Time and Work Practice Test 3 with solutions

Question : 36 of 40

Marks: +1, -0

Six students along with a teacher can complete a given project in 4 days. The same work can be completed by 3 students in 16 days. Find the time taken by the teacher alone to complete the same project.

4 days
8 days
16 days
6 days
Cannot be determined

Validate

Solution:

Work done by 6 students and a teacher in one day =

1/4

Work done by 3 students in one day =

1/{16}

Work done by 6 students in one day =

1/8

Work done by the teacher in one day =

1/4 - 1/8

1/8

Hence, the teacher alone will finish the work in 8 days.

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