ABC26GN3439 · Time and Work

Subject: General Aptitude · Chapter: Time and Work · Exam: · Marks: · Difficulty:

Bob and David are two typists. One afternoon, they were each given 40 pages for typing. They divided the work equally but David finished 20 minutes before Bob who took 2 hours for the same. The next afternoon, they were again given 77 pages to type. However, this time they decided to divide the work such that they finished typing simultaneously. How many pages did Bob have to type?
(a)35
(b)36
(c)40
(d)42
Answer
Answer (as printed): A
Explanation
Time taken by Bob to type 20 pages = 2 hrs = 120 min. Time taken by David to type 20 pages = 1 hr 40 min = 100 min.  120  Time taken by Bob to type 1 page =   min = 6 min.  20   100  Time taken by David to type 1 page =   min = 5 min. 20  1 Bob’s 1 minute’s work = ; 6 1 David’s 1 minute’s work = . 5 1 1 \ Ratio of division of work = : = 5 : 6. 6 5 Hence, number of pages to be typed by Bob 5  =  77 ×  = 35. 11

Explanation as extracted from the printed page; notation may be imperfect.

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