Question

A bathtub is filling with water at a rate of 72 inch3/second. The density of water is 0.58 ounce/inch3. How long will it take for the tub to fill with 11,000 ounces of water?

Answer 1

Mass of water = 11,000 ounces

Density of water = $0.58\frac{ounce}{in ^{3} }$

Volume of water = $11000 ounces * \frac{1 in^{3} }{0.58 ounces}$

Volume of water=$= 18966 in^{3}$

Rate at which water fills the bath tub = $72 \frac{in^{3}}{s}$

Time taken to fill the bath tub with 11000 ounces of water = $18966 in^{3} * \frac{1 s}{72 in^{3} }  = 263.4 s$ $=263.4 s * \frac{1 min}{60s} = 4.39 min$

Therefore, it would take 263.4 s or 4.39 min to fill the tub with 11000 ounces of water.