Math Problem Statement

A homeowner has just installed a swimming pool with a capacity of 3.5 x 104 gallons. If the pool is initially empty, how many hours will it take to fill it using only a garden hose that delivers 630 gallons of water per hour? Round your answer to the nearest whole number.

Solution

To find out how many hours it will take to fill the pool, we can use the formula:

Time=Pool CapacityRate of Water Flow\text{Time} = \frac{\text{Pool Capacity}}{\text{Rate of Water Flow}}

Where:

  • Pool capacity = 3.5×1043.5 \times 10^4 gallons = 35,000 gallons
  • Rate of water flow = 630 gallons per hour

Now we calculate the time:

Time=35,000 gallons630 gallons per hour=55.56 hours\text{Time} = \frac{35,000 \text{ gallons}}{630 \text{ gallons per hour}} = 55.56 \text{ hours}

Rounding to the nearest whole number:

\

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Arithmetic
Division
Unit Conversion

Formulas

Time = Pool Capacity / Rate of Water Flow

Theorems

-

Suitable Grade Level

Grades 6-8