Question

drag each tile to the correct box. loris family is on a road trip. they split their drive into the five legs listed in the table. find the average velocity for each leg of the trip. then arrange the legs of the trip from lowest velocity to highest. leg distance (km) time (min) a 15 10 b 20 15 c 24 12 d 36 9 e 14 14

Explanation:

Step1: Convert time to hours

Since velocity formula is \(v=\frac{d}{t}\) (where \(d\) is distance in km and \(t\) is time in hours).
For leg A: \(t = \frac{10}{60}=\frac{1}{6}\) hours, \(v_A=\frac{15}{\frac{1}{6}}=15\times6 = 90\) km/h.
For leg B: \(t=\frac{15}{60}=\frac{1}{4}\) hours, \(v_B=\frac{20}{\frac{1}{4}}=20\times4 = 80\) km/h.
For leg C: \(t=\frac{12}{60}=\frac{1}{5}\) hours, \(v_C=\frac{24}{\frac{1}{5}}=24\times5 = 120\) km/h.
For leg D: \(t=\frac{9}{60}=\frac{3}{20}\) hours, \(v_D=\frac{36}{\frac{3}{20}}=36\times\frac{20}{3}=240\) km/h.
For leg E: \(t=\frac{14}{60}=\frac{7}{30}\) hours, \(v_E=\frac{14}{\frac{7}{30}}=14\times\frac{30}{7}=60\) km/h.

Step2: Arrange velocities

Comparing the velocities \(v_E = 60\), \(v_B=80\), \(v_A = 90\), \(v_C=120\), \(v_D = 240\)

Answer:

E, B, A, C, D