A is 6 times as fast as B and takes 100 days less to complete a work than B. Find the total number of days taken by A and B to complete the work.  Choose the correct answer.
A) 120/7 B) 120/9 C) 120/76 D) 120/6 E) 120/1
Explanation:-   According to question A is 6 times as fast as B   So, Ratio of time taken by A and B will be 1 : 6   Let time taken by A is = x   And time taken by B is = 6x   According to the question A take 100 days less   i.e. 6x – x = 100   x = 20   So, A takes 20 days and B takes 120 days to complete the work.   A's 1 day work = 1/20   B's 1 day work = 1/120   (A + B)'s 1 day work = 1/20 + 1/120 = 7/120   Total time taken = 120/7 days.   120/7nswer: 120/7
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A is 6 times as fast as B and takes 100 days less to complete a work than B. Find the total number of days taken by A and B to complete the work.