A team of 20 people can construct a bridge in 40 days .another team of 25 people can complete the same construction in 60 days .if both the teams work together ,in how many days will the bridge be constructed?
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A team of 20 people can construct a bridge in 40 days
so, work of 20 people in 40 days = 20×40 = 800
so, work of people per day = 1/800 =
Another team of 25 people can complete the same work in 60 days
so, work of 25 people in 1 day = 25×60 = 1500
so, work of 1 people per day = 1/1500
if both teams work together = 1/800 + 1/1500 = 1/100(1/8 + 1/15) = 1/100((15+8)/120) = 23/12000
so, whole work of two team work together = 12000/23 = 521(17/23) days
so, work of 20 people in 40 days = 20×40 = 800
so, work of people per day = 1/800 =
Another team of 25 people can complete the same work in 60 days
so, work of 25 people in 1 day = 25×60 = 1500
so, work of 1 people per day = 1/1500
if both teams work together = 1/800 + 1/1500 = 1/100(1/8 + 1/15) = 1/100((15+8)/120) = 23/12000
so, whole work of two team work together = 12000/23 = 521(17/23) days
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