
- Ratios and Unit Rates
- Home
- Writing Ratios Using Different Notations
- Writing Ratios for Real-World Situations
- Identifying Statements that Describe a Ratio
- Simplifying a Ratio of Whole Numbers: Problem Type 1
- Simplifying a Ratio of Decimals
- Finding a Unit Price
- Using Tables to Compare Ratios
- Computing Unit Prices to Find the Better Buy
- Word Problem on Unit Rates Associated with Ratios of Whole Numbers: Decimal Answers
- Solving a Word Problem on Proportions Using a Unit Rate
- Solving a One-Step Word Problem Using the Formula d = rt
- Function Tables with One-Step Rules
- Finding Missing Values in a Table of Equivalent Ratios
- Using a Table of Equivalent Ratios to Find a Missing Quantity in a Ratio
- Writing an Equation to Represent a Proportional Relationship
Solving a One-Step Word Problem Using the Formula d = r∗t
We use the formula d = r * t, where d is the distance, r is the speed and t is time to solve the following problems
A car travels 120 miles at the speed of 48 miles per hour. Find the time taken for the journey using the formula d = rt.
Solution
Step 1:
Distance, d = 120 miles; speed, r = 48 miles/hour
Step 2:
Using the formula, d = r * t
Time taken, $t = \frac{d}{r} = \frac{120}{48} = 2.5$ hours
A bus travels for $\mathbf {3\frac{1}{2}}$ hours at the speed of 48 miles per hour. Find the distance traveled using the formula d = rt.
Solution
Step 1:
Speed, r = 48 miles/hour
Time taken, t = $3\frac{1}{2}$ hours = $\frac{7}{2}$ hours
Step 2:
Using the formula, d = r * t
Distance, d = r * t = $48 \times \frac{7}{2} = 168$ miles
A boat can go 45 miles in $\mathbf {3\frac{3}{4}}$ hours. Find the speed of the boat using the formula d = rt.
Solution
Step 1:
Distance, d = 45 miles; time, t = $3\frac{3}{4}$ hours = $\frac{15}{4}$ hour
Step 2:
Using the formula, d = r * t
speed, $r = \frac{d}{t} \: = \: 45 \div \frac{15}{4} \: = \: \frac{45}{1} \times \frac{4}{15} = 12$ miles per hour