Question

examine the table here with the distances and times recorded for five different vehicles. calculate the average speed for each vehicle and select the options that are correct below (choose 3). vehicle a had the slowest average speed. vehicle c had a faster speed than vehicle d. vehicle d had an average speed of 35 kilometers per hour.

Explanation:

Step1: Recall speed formula

The formula for average speed is $v=\frac{d}{t}$, where $v$ is speed, $d$ is distance and $t$ is time.

Step2: Calculate speed of Vehicle A

For Vehicle A, $d = 45$ km and $t=3.0$ hours. So $v_A=\frac{45}{3.0}=15$ km/h.

Step3: Calculate speed of Vehicle B

For Vehicle B, $d = 50$ km and $t = 2.5$ hours. So $v_B=\frac{50}{2.5}=20$ km/h.

Step4: Calculate speed of Vehicle C

For Vehicle C, $d = 80$ km and $t=1.5$ hours. So $v_C=\frac{80}{1.5}=\frac{160}{3}\approx53.33$ km/h.

Step5: Calculate speed of Vehicle D

For Vehicle D, $d = 35$ km and $t = 1.0$ hour. So $v_D=\frac{35}{1.0}=35$ km/h.

Step6: Calculate speed of Vehicle E

For Vehicle E, $d = 20$ km and $t=0.5$ hour. So $v_E=\frac{20}{0.5}=40$ km/h.

Step7: Analyze statements

• Vehicle A has the slowest average - speed as $v_A = 15$ km/h which is the lowest among all.
• Vehicle C has a faster speed than Vehicle D as $v_C\approx53.33$ km/h and $v_D = 35$ km/h.
• Vehicle D has an average speed of 35 km/h.

All the statements A, B and C are correct.

Answer:

A. Vehicle A had the slowest average speed
B. Vehicle C had a faster speed than vehicle D
C. Vehicle D had an average speed of 35 kilometers per hour