Subject
Bank Exam
Topic
Bangladesh Bank AD 2014
Two workers A and B are engaged to do a work. A working alone takes 8 hours more to complete the job than if both worked together. If B worked alone he would need 5 hours more to complete the job than they both working together. What time would they take to do the work together?
Two workers A and B are engaged to do a work. A working alone takes 8 hours more to complete the job than if both worked together. If B worked alone he would need 5 hours more to complete the job than they both working together. What time would they take to do the work together?
ক)
4 hoursখ)
5 hoursগ)
6 hoursঘ)
7 hoursExplanation
Let, It takes x hours to complete the job when A and Bboth worked together. A working alone takes x+8 B working alone takes x+4.5 A's works in 1 hour=1/(x+8) Bs works in 1 hour=1/(x+4.5) (A+B)'s works in 1 hour=1/x we get, 1/(x+8)+1/(x+4.5)=1/x so, x=6Related questions
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