Time and Work - Discussion Page For Q.494 | Aptitude Questions and Answers | Aptitude Free Online-Tests | LucentBlackBoard

Home > Arithmetic Aptitude > Time and Work > Questions and Answers Discussion

If X and Y complete a certain work in 10 days, Y and Z in 16 days and X and Z in 22 days, find the time required for each one to complete the work while working separately.

A.	120, 40, 60 days	B.	120, 60, 80 days
C.	40, 30, 120 days	D.	30, 40, 60 days

Answer and Explanation

Answer:120, 40, 60 days

Explanation:
Let a: be the time in which X & Y completes their work = 30 days
b: time in which Y & Z completes their work = 24 days
c: time in which X & Z completes their work = 40 days
X alone can complete the work in (2 * a * c) / (ab + bc – ac) days
= 2 * 30 * 24 * 40 / ((30 * 24) + (24 * 40) – (30 * 40)) = 120 days
Y alone can complete the work in 2 * a * b * c / (- ab + bc + ac) days
= 2 * 30 * 24 * 40 / (-(30 * 24) + (24 * 40) + (30 * 40)) = 40 days
Z alone can complete the work in 2 * a * b * c / (ab – bc + ac) days
= 2 * 30 * 24 * 40 / ((30 * 24) – (24 * 40) + (30 * 40))
= 60 days

Comment on this Question
Name:

LucentBlackBoard.com has the web's largest collection of over 15,000 aptitude questions and answers with detailed explanation which include subjects like Arithmetic Aptitude, Logical Reasoning, Verbal Ability, General Knowledge, Programming Skills and more!

Our online education portal provides a unique and standard learning experience for students. We enable the students to prepare for most of the entrance and competitive exams like MBA (MAT, GMAT), Engineering (IIT-JEE, AIEEE, GATE), Employment (IAS, Bank PO, Railway, UGCNET), Civil Services and many more. We bring you the best in education by providing technical excellence and creating innovative solutions. We provide facility for online test preparation that offers 24/7 access to relevant subject matter and relative tests. These test preparations help the students to groom themselves and get prepared before actually facing the examination.