A tap is filling a 10-liters tank at the speed of 5 liters per minute.

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

4 0

Answer:

It takes 2.5 minutes to fill the tank.

Explanation:

The net speed or net rate for filling the 10-liters tank is equal to the speed the tap is filling less the speed the water is leaking through the hole located at the bottom of the tank:

Net rate = rate of filling - rate of leaking

Net rate = 5 liters/minute - 1 liter/minute

Net rate = 4 liters/minute

Thus, consiedering the tank is empty at the beginning, the time is:

Time = Volume of the tank / net rate of filling

Time = 10 liters / (4liters/minute)

Time = 2.5 minutes ← answer

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Answer and round to the nearest tenth . <img src="https://tex.z-dn.net/?f=2.1%5Csqrt%7B1.488%7D" id="TexFormula1" title="2.1

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It is a good idea to get familiar with the operation of your calculator. If you're going to use on-line resources to work problems like this, you can make use of any of several good on-line calculators. Google and Bing search boxes will do calculations for you while observing all the rules of the Order of Operations.

The result of this computation is a number that begins 2.56.... Since the hundredths digit is more than 4, the tenths digit is rounded to the next higher value, from 5 to 6.

Rounded to tenths, 2.1√1.488 = 2.6