Two workers A and B are engaged to do a piece of work. Working together they would take 8 hours less than the time taken by A alone, and 4.5 hours less than the time taken by B alone. Find the time they take to complete the work together.
Explanation:
Let the time taken together be t hours. Then A takes (t + 8) hours and B takes (t + 4.5) hours. Using the direct formula for such problems: t = sqrt(a * b), where a and b are the extra times. t = sqrt(8 * 4.5) = sqrt(36) = 6 hours.
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