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loris family is on a road - trip. they split their drive into five legs…

Question

loris family is on a road - trip. they split their drive into 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.

legdistance (km)time (min)
b2015
c2412
d309
e1414

Explanation:

Step1: Calculate speed for Leg A

$v_A = \frac{15\ \text{km}}{10/60\ \text{h}} = 90\ \text{km/h}$

Step2: Calculate speed for Leg B

$v_B = \frac{20\ \text{km}}{15/60\ \text{h}} = 80\ \text{km/h}$

Step3: Calculate speed for Leg C

$v_C = \frac{24\ \text{km}}{12/60\ \text{h}} = 120\ \text{km/h}$

Step4: Note Leg D time is 0 (undefined speed)

$v_D = \text{Undefined (division by 0)}$

Step5: Calculate speed for Leg E

$v_E = \frac{14\ \text{km}}{14/60\ \text{h}} = 60\ \text{km/h}$

Step6: Average valid legs (A,B,C,E)

$\text{Average} = \frac{90+80+120+60}{4} = 87.5\ \text{km/h}$

Answer:

Leg A: 90 km/h, Leg B: 80 km/h, Leg C: 120 km/h, Leg D: Undefined, Leg E: 60 km/h, Average of valid legs: 87.5 km/h