X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days. How long will they together take to complete the work?
papay dey Answered question February 15, 2025
📊 Work and Time Calculation 📊
X’s work rate = 1/40 (work done per day)
Work done by X in 8 days = 8 days × (1/40)
= 8/40
= 1/5 of the workRemaining work = 1 – 1/5 = 4/5 of the work
Y’s work rate = (4/5) / 16
= 4/80
= 1/20 (work done per day)Combined work rate of X and Y = X’s work rate + Y’s work rate
= 1/40 + 1/20
= (1 + 2) / 40
= 3/40 (work done per day)Time taken by X and Y together = 1 / (Combined work rate)
= 1 / (3/40)
= 40/3
= 13.33 days🎉 X and Y together will take approximately 13.33 days to complete the work. 📊
papay dey Answered question February 15, 2025
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