Question

A 5 gallon bucket filled with water is being pulled from the ground up to a height of 20 feet. the bucket goes up 2 feet every 15 seconds. the bucket has a hole in it, so that 1 quart (1/4 gallon) of water leaks out of the bucket every 3 minutes. How much water will be left in the bucket by the time the bucket gets to the top?

side note: I already had someone answer this wrong, so please actually answer it.​

Answer 1

The bucket has to travel 20 feet.

The buckets velocity is 8 feet per minute.

The bucket's "journey" lasts 2.5 minutes.

The bucket loses 1 quart every 3 minutes.

So, during the "journey" the bucket loses (2.5 / 3.0) * 1 quart which equals 5/6 quarts. (That's 5/24 of a gallon).

The question asks how much water REMAINS in the bucket.

Water remaining = 5 gallons minus (5/24) gallons

= 5 minus 0.2083333333 gallons = 4.7916666667 gallons

OR the bucket holds 5 gallons ( or 120 / 24) gallons

120 / 24 minus 5 / 24 equals 115 / 24 gallons =

4.7916666667 gallons OR 4 gallons and 3 and 1/6 quarts

Explanation: