Subject
Bank Exam
Topic
পূবালী ব্যাংক লিমিটেড (প্রবেশনারী অফিসার) - ৩০.০৯.২০২৩
A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done is 23 days?
A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done is 23 days?
ক)
11 daysখ)
13 daysগ)
(343/17) daysঘ)
None of theseExplanation
Ratio of times taken by A and B = 100 : 130 = 10 : 13 Suppose B takes x days to do the work. Then, 10 : 13 :: 23 : x ⇒ x = (23 × 13)/10 ⇒ x = 299/10 A's 1 day's work = 1/23 B's 1 day's work = 10/299 (A + B)'s 1day's work = 1/23 + 10/299 = 23/299 = 1/13 ∴ A and B together can complete the work in 13 days.Related questions
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