Question

A hose is leaking water at a rate of 2 oz/h. How many cups of water will leak out after 2 weeks?

Answer 1

Answer:

84 cups of water will leak out after 2 weeks

Step-by-step explanation:

* Lets how many how to change oz to cup

- One cup contains 8 oz

- We can use the ratio to solve this problem

- A hose is leaking water at a rate of 2 oz/h

- We need to find how many cups of water will leak out after 2 weeks

∵ The rate of the water leak out is 2 oz/hr

∵ 1 cup contains 8 oz

∴ 1 oz = $\frac{1}{8}$ cup

∴ 2 oz = 2 × $\frac{1}{8}$ = $\frac{2}{8}$ = $\frac{1}{4}$ cup

∴ The rate of the water leak out = $\frac{1}{4}$ cup/h

∵ 1 day = 24 hours

∵ 1 week = 7 days

∴ 1 week = 7 × 24 = 168 hours

∵ The number of hours in 1 week is 168

∴ The number of hours in 2 weeks = 168 × 2 = 336 hours

⇒    cups    :    hours

⇒      $\frac{1}{4}$         :   1

⇒     x         :    336

- By using cross multiplication

∴ x = 336 × $\frac{1}{4}$

∴ x = 84

- x represents the number of cups of water leak out

84 cups of water will leak out after 2 weeks