ANSWER:
c) 5.4
STEP-BY-STEP EXPLANATION:
Given:
u = 54 km/h
v = 32 km/h
d = 65 m = 0.065 km
We can calculate the time starting from the following equation:
[tex]d=\mleft(\frac{u+v}{2}\mright)\cdot\: t[/tex]We solve for t:
[tex]t=\frac{d}{\mleft(\frac{u+v}{2}\mright)}[/tex]We substitute and calculate the time in hours, then convert that time to seconds, just like this:
[tex]\begin{gathered} t=\frac{0.065}{\frac{54+32}{2}}=0.00151\text{ h} \\ t=0.00151\text{ h}\cdot\frac{3600\text{ sec}}{1\text{ h}} \\ t=5.4\text{ sec} \end{gathered}[/tex]Therefore, the time it would take is 5.4 seconds