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Time and Work Practice Test 1 with solutions

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Question : 19 of 40

Marks: +1, -0

Albela, Bob and Chulbul have to read a document of seventy-eight pages and make a presentation the next day. They realize that the article is difficult to understand and they would require a team work to finish the assignment. Albela can read a page in 2 minutes, Bob in 3 minutes and Chulbul in 4 minutes. If they divide the article into 3 parts, so that all the three of them spend the equal amount of time on the article, the number of pages that Bob should read is

24
25
26
27
28

Solution: 👈: Video Solution

Albela’s 1 minute work =

\frac{1}{2}

Bob’s 1 minute work =

\frac{1}{3}

Chulbul’s 1 minute work =

\frac{1}{4}

Total work done in 1 minute =

\frac{1}{2} + \frac{1}{3} + \frac{1}{4}

=

\frac{6 + 4 + 3}{12}

=

\frac{13}{12}

Total number of pages = 78

\frac{13}{12}

of work is done in 1 minute = 1

78 pages are read in 1 minute =

\frac{12}{13} \times 78

= 72

Number of pages that Bob should read =

\frac{1}{3} \times 72

= 24 pages

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