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 $mathbf {3frac{1}{2}}$ 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 = $3frac{1}{2}$ hours = $frac{7}{2}$ hours

Step 2:

Using the formula, d = r * t

Distance, d = r * t = $48 imes frac{7}{2} = 168$ miles

A boat can go 45 miles in $mathbf {3frac{3}{4}}$ hours. Find the speed of the boat using the formula d = rt.

Solution

Step 1:

Distance, d = 45 miles; time, t = $3frac{3}{4}$ hours = $frac{15}{4}$ hour

Step 2:

Using the formula, d = r * t

speed, $r = frac{d}{t} : = : 45 span frac{15}{4} : = : frac{45}{1} imes frac{4}{15} = 12$ miles per hour