A 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?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 55 pages.
A takes 4 hours = 240 minutes
B takes 40 minutes less = 240 - 40 = 200 minutes
Ratio of time = 240/200 = 6/5
L.C.M(6 and 5) = 30
So, The efficiency of A = 5 units and
The efficiency of B = 6 units
If they want to finish the work at the same time then, the ratio of the division of their work must be 5 : 6
⇒ 5x + 6x = 121
⇒ 11x = 121
⇒ x = 11
Work done by A = 5x = 55 units or 55 pages