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Real-Life Math -- Solution

The first thing you need to do is figure out the volume of the tank.

Multiply the dimensions of the tank:
10 m wide x 12.5 m wide x 5.3 m deep = volume
10 m x 12.5 m x 5.3 m = 662.5 cubic meters

Next you have to figure out how many liters are in the tank.
Since there are 1,000 liters per cubic meter, multiply the volume of the tank by 1,000.

cubic meters x 1,000 liters per cubic meter = total liters
662.5 cm x 1,000 L = 662,500 liters

Now figure out how many seconds it will take to fill the tank. Divide the number of liters in the tank by the number of liters per second it takes the water to flow through the pipe.

662,500 liters / 5 seconds = 132,500 seconds

Now you have to convert seconds to minutes:

132,500 seconds / 60 seconds in a minute = 2,208 minutes

And next convert minutes to hours:

2,208 minutes / 60 minutes in an hour = 36.8 hours

It will take you 36.8 hours to fill the tank. Don't forget that it will take the tiles 48 hours to dry. That adds up to 84.8 hours.

Convert that to everyday language.

84.8 / 24 hours in a day = just over 3.5 days

Technically, the maintenance people can come test the pumps in just over 3.5 days. Yet a half-day is 12 hours, and you know the crew doesn't work around the clock. So be sure to round that up to four days. In other words, if it's Monday at 9 a.m., 3.5 days would be Thursday at 9 p.m. The crew won't be working then! So tell them to come in on Friday morning.

"Being good at math is helpful with everything, and it's certainly good for trades like plumbing," says plumbing instructor Bill Evans. "The better you are at math, the better you can do things like grading pipe and calculating where graded pipe are going to go through walls, and working with invert elevations and stuff like that. So it is fairly mathematical in nature."


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