Question
A car travels at an average of 50 miles per hour for $MF#%2\dfrac{1}{2}$MF#% hours and then travels at a speed of 70 miles per hour for $MF#%1\dfrac{1}{2}$MF#% hours. How far did the car travel in the entire 4 hours?
A car travels at an average of 50 miles per hour for $MF#%2\dfrac{1}{2}$MF#% hours and then travels at a speed of 70 miles per hour for $MF#%1\dfrac{1}{2}$MF#% hours. How far did the car travel in the entire 4 hours?
Answer: Option B
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Answer : Option B
Explanation :
$MF#%\begin{align}
&\text{Speed1 = 50 miles/hour}\\
&\text{Time1 = }2\dfrac{1}{2}\text{ hour} = \dfrac{5}{2}\text{ hour}\\
&\text{Distance1 = Speed1 }\times \text{ Time1 = }50 \times \dfrac{5}{2} = 25 \times 5 = 125\text{ miles}\\\\\\\\
&\text{Speed2 = 70 miles/hour}\\
&\text{Time2 = }1\dfrac{1}{2}\text{ hour} = \dfrac{3}{2}\text{ hour}\\
&\text{Distance2 = Speed2 }\times \text{ Time2 = }70 \times \dfrac{3}{2} = 35 \times 3 = 105\text{ miles}\\\\
&\text{Total Distance = Distance1 + Distance2 } = 125 + 105 = 230\text{ miles}
\end{align}$MF#%
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