UP TGT Mathematics Commercial Mathematics Test Series - Part 4

Two workers A and B are engaged to do a work. Working alone, A takes 8 hours more to complete the job than if both worke...

Type: MCQ • Marks: 1
Two workers A and B are engaged to do a work. Working alone, A takes 8 hours more to complete the job than if both worked together. Working alone, B takes 4.5 hours more than both working together. How many hours do both take working together?
Options
A. 1) 9 hours
B. 2) 7.5 hours
C. 3) 5 hours
D. 4) 6 hours
Explanation
When A takes 'a' extra hours and B takes 'b' extra hours than joint time T, T = sqrt(a * b). Here T = sqrt(8 * 4.5) = sqrt(36) = 6 hours.
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