Working 5 hours a day, A can Complete a work in 8 days and working 6 hours a day, B can complete the same work in 10 days. Working 8 hours a day, they can jointly complete the work in how many days?
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Correct Answer: Option A
Explanation:
Working 5 hours a day, A can complete the work in 8 days \(=5^{\star} 8=40\) hours
Working 6 hours a day, B can complete the work in 10 days \(=6^{*} 10=60\) hours
\((A+B)\) 's 1 hour's work \(=(1 / 40+1 / 60)\)
\(=(3+2) / 120\)
\(=1 / 24\)
Hence, A and B can complete the work in 24 hours which is equal to 3 days.
Working 5 hours a day, A can complete the work in 8 days \(=5^{\star} 8=40\) hours
Working 6 hours a day, B can complete the work in 10 days \(=6^{*} 10=60\) hours
\((A+B)\) 's 1 hour's work \(=(1 / 40+1 / 60)\)
\(=(3+2) / 120\)
\(=1 / 24\)
Hence, A and B can complete the work in 24 hours which is equal to 3 days.