Question

(Simplify your answer. Type an integer, proper fraction, or mixed number.) A car is traveling at a steady speed. It travels 1 1/2 miles in 2 1/2 minutes. How far will it travel in 47 minutes? How far will it travel in 1 hour ?

Answer 1

Answer : The car will traveled 28.2 miles in 47 minutes and 36 miles in 1 hour

A car traveled at a steady speed. It travels 1 1/2 miles in 2 1/2 minutes

Given that:

Distance traveled by the car = 1 1/2 miles

Time = 2 1/2 minutes

`\begin{gathered} \text{Speed = }\frac{dis\tan ce}{\text{time}} \\ \text{First, convert the mixed fractions into improper fractions} \\ \text{Distance = 1}(1)/(2)\text{ miles} \\ =\text{ }\frac{2\text{ x 1 + 1}}{2} \\ =\text{ }(3)/(2)\text{ miles} \\ \text{Time = 2 }(1)/(2)\text{ minutes} \\ \text{Time = }\frac{2\text{ x 2 + 1}}{2} \\ \text{Time = }(5)/(2)\text{ minutes} \\ \text{Speed = }\frac{Dis\tan ce}{\text{time}} \\ \text{Speed = }(3)/(2)\text{ / }(5)/(2) \\ \text{Speed = }(3)/(2)\text{ x }(2)/(5) \\ \text{Speed = }(6)/(10) \\ \text{Speed = }(3)/(5)\text{ miles / minutes} \\ \text{How far it will travel in 47 minutes} \\ \text{ since, Distance = sp}eed\text{ x time} \\ speed\text{ = }(3)/(5),\text{ and time = 47 minutes} \\ \text{Distance = }(3)/(5)\text{ x 47} \\ \text{Distance = }\frac{3\text{ x 47}}{5} \\ \text{Distance = }(141)/(5) \\ \text{Distance = 28.2 miles} \\ \text{How far it travels in 1 hour} \\ 1\text{ hour = 60 mins} \\ \text{Distance = }(3)/(5)\text{ x 60} \\ \text{Distance =}(180)/(5) \\ \text{Distance = 36 miles} \end{gathered}`

Hence, the car will traveled 28.2 miles in 47 minutes and 36 miles in 1 hour