Sreeragc wrote:
GyanOne wrote:
Quickest way to solve this question with minimal calculations:
Adam writes at twice the rate of John. Therefore in the time that John covers x, Adam will cover 2x.
=> They will meet at (2/3) of the length of the book.
=> They will meet at page 535*2/3 = page 357
Option (C).
PS - For anyone confused between Option (A) and (C), note that 535*(2/3) = 356.66, which is more than 356, or the 357th page.
How did we know that they meet at 2/3 of the length of the book??
SreeragcBecause Adam's speed is twice John's speed, so:
after 1 hour : Adam writes 100 lines and John writes 50 lines; total lines 150 of which Adam wrote 2/3rds and John wrote 1/3rds
after 2 hours: Adam would have written 200 lines and John 100 lines; total lines 300 of which Adam wrote 2/3rds and John wrote 1/3rds
The ratio will always be 1:2 and Adam would have always written 2/3rds of the total lines written. Since John is working from the bottom and Adam from the top, they will meet when they have collectively written all of the 535 lines. Counting from the beginning that would be 2/3 * 535 ~= 357 lines. Hope this clears it up.