if 60 workers can dig a pond 120m long, 60m wide and 4m deep in 120days, then how many days can 80 workers dig another pond of dimension 100m×40m×3m?
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2
ANSWER
12000 is the correct answer
Answered by
1
Answer:
60workers dig a pond 120m,60m,4m in 120 days.
therefore volume of pond=120*60*4=28800m^3
60workers dig 28800m^3 in 120 days
therefore
1worker digs 28800/60m^3 in 120 days
1worker digs 480m^3 in 120 days
therefore
1 worker digs 480/120m^3 in 1day
1worker digs 4m^3 in 1 day.
let the time taken by 80 workers to dig a pond 100m,40m,3m by x day.
therefore volume of pond =100*40*3=12000m^3
80 workers dig 12000m^3 in x days
therefore
1worker digs 12000/80m^3 in x days
1worker digs 150m^3 in x days
therefore
1 worker digs 150/xm^3 in 1day
Since 1 worker digs 4m^3 in 1 day
therefore
150/x=4
therefore
x=150/4=37.5days
Hope it helps
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