CAT Quantitative Ability Questions | CAT TIme, Speed, Distance and Work questions

CAT/2001

Question . 102

There’s a lot of work in preparing a birthday dinner. Even after the turkey is in the oven, there’s still the potatoes and gravy, yams, salad, and cranberries, not to mention setting the table. Three friends, Asit, Arnold, and Afzal, work together to get all of these chores done. The time it takes them to do the work together is six hours less than Asit would have taken working alone, one hour less than Arnold would have taken alone, and half the time Afzal would have taken working alone. How long did it take them to do these chores working together?

View Answer

Explanatory Answer

Method of solving this CAT Quantitative Ability Question from TIme, Speed, Distance and Work question

(c) Let the time taken by Asit, Arnold and Afzal to do the work alone be x, y and z hrs respectively.

Therefore, time taken to do the work together is