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examine the table with the distances and times recorded for five differ…

Question

examine the table with the distances and times recorded for five different trains. calculate the average speed for each train and select the correct answer choices. select all that apply.

traindistance (kilometers)time (hour)
ii502.0
iii804
iv703.5
v1004.0

a train i had the fastest average speed.
b train v had the slowest average speed.
c trains ii and v had the same average speed.
d trains iv and v had the same average speed.
e trains iii and iv had the same average speed.

Explanation:

Step1: Recall speed formula

Average speed = $\frac{\text{Distance}}{\text{Time}}$

Step2: Calculate Train I speed

$\frac{90}{2.5} = 36$ km/h

Step3: Calculate Train II speed

$\frac{50}{2.0} = 25$ km/h

Step4: Calculate Train III speed

$\frac{80}{4} = 20$ km/h

Step5: Calculate Train IV speed

$\frac{70}{3.5} = 20$ km/h

Step6: Calculate Train V speed

$\frac{100}{4.0} = 25$ km/h

Step7: Compare speeds

Train II (25 km/h) = Train V (25 km/h)

Answer:

C. Train II and V had the same average speed.