Question
Download Solution PDFA and B are two typists. One afternoon, they were each given 80 pages for typing. They divided the work equally, but B finished 40 minutes before A, who took 4 hours for the same. The next afternoon, they were again given 121 pages to type. However, this time they decided to divide the work such that they finished typing simultaneously. How many pages did A have to type?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven data:
A's time for 80 pages: 4 hours
B's time for 80 pages: 3 hours 20 minutes
Concept: Work and time ratio.
Calculation:
The ratio of work rates of A and B = B's time/A's time = 4/3.333 = 1.2
Ratio of pages = 1.2 : 1 = 6 ∶ 5
A's share of 121 pages = 5/11 × 121 = 55 pages
Hence, A had to type 55 pages.
Last updated on Jul 8, 2025
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