The van traveled at 120 miles in hours. how long would it take to travel 1400 miles at the same speed?
+26367 The van traveled at 120 miles in hours. how long would it take to travel 1400 miles at the same speed?
\(\begin{array}{rcll} \dfrac{120\ \text{miles}} {1\ \text{hour} } \cdot x &=& 1400\ \text{miles} \\\\ x &=& 1400\ \text{miles} \cdot \dfrac {1\ \text{hour} } {120\ \text{miles}} \\\\ x &=& 1400 \cdot \dfrac {1\ \text{hour} } {120} \\\\ x &=& \dfrac{1400}{120} \cdot 1\ \text{hour} \\\\ x &=& \dfrac{140}{12} \ \text{hour} \\\\ x &=& 11\ \dfrac{2}{3} \ \text{hour} \\\\ x &=& 11\ \text{hour} + \dfrac{2}{3}\ \text{hour} \cdot \dfrac{60\ \text{minutes} } {1\ \text{hour} }\\\\ x &=& 11\ \text{hour} + \dfrac{2}{3} \cdot 60\ \text{minutes} \\\\ x &=& 11\ \text{hour} + \dfrac{120}{3}\ \text{minutes} \\\\ x &=& 11\ \text{hour} + 40\ \text{minutes} \\\\ \end{array}\)
It would take to travel 1400 miles about 11 hours and 40 minutes
