A can complete a work in 16 days, working 6 hours a day. B can complete the same work in 12 days, working 9 hours a day. If both A and B work together, working 8 hours a day, in how many days can they complete the work?
A can complete a work in 16 days, working 6 hours a day. B can complete the same work in 12 days, working 9 hours a day. If both A and B work together, working 8 hours a day, in how many days can they complete the work?
Solution
A can complete the work in 16 days, working 6 hours a day.
Total hours A needs to complete the work:
hours
B can complete the work in 12 days, working 9 hours a day.
Total hours B needs to complete the work:
hours
A completes of the work in 1 hour.
B completes of the work in 1 hour.
Together in 1 hour:
Finding LCM of 96 and 108:
LCM
of the work per hour
Working 8 hours a day together, work completed in 1 day:
of the work
Total days needed to complete the work:
days
Therefore, they can complete the work in days.
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