Subject: General Aptitude · Chapter: Time and Work · Exam: · Marks: · Difficulty:
X can do a piece of work in 24 days. When he had worked for 4 days, Y joined him. If complete work was finished in 16 days, Y can alone finish that work in [SSC—CHSL (10+2) Exam, 2015]
(a)18 days
(b)27 days
(c)36 days
(d)42 days
Answer
Answer (as printed): C
Explanation
X’s 1 day’s work = 24 16 X’s 16 day’s work = 24 Let Y alone complete the work in x days. 12 Y’s 12 days work = x According to the question, Complete work done by X and Y = 1 X’s 16 days work + Y’s 12 days work = 1 16 12 ⇒ + =1 24 x 2 12 ⇒ + =1 3 x 12 2 1 ⇒ = 1− = x 3 3 ⇒ x = 12 × 3 = 36 days
Explanation as extracted from the printed page; notation may be imperfect.