# Solving a One-Step Word Problem Using the Formula d = r∗t

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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