Question

for each line 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: distance (km) 40, time (hour) 2.0; vehicle b: distance (km) 30, time (hour) 1.5; vehicle c: distance (km) 10, time (hour) 0.5; vehicle d: distance (km) 50, time (hour) 2.5; vehicle e: distance (km) 20, time (hour) 1.0; a: vehicle d had an average speed of 35 kilometers per hour. b: vehicle c had a faster speed than vehicle d. c: vehicle a had the slowest average speed. d: vehicle b had a faster speed than vehicle d. e: vehicle e had the highest average speed.

Explanation:

Step1: Recall speed formula

Speed \(v=\frac{d}{t}\), where \(d\) is distance and \(t\) is time.

Step2: Calculate speed for Vehicle A

For Vehicle A, \(d = 40\) km and \(t=2.5\) hours. So \(v_A=\frac{40}{2.5}=16\) km/h.

Step3: Calculate speed for Vehicle B

For Vehicle B, \(d = 60\) km and \(t = 1.5\) hours. So \(v_B=\frac{60}{1.5}=40\) km/h.

Step4: Calculate speed for Vehicle C

For Vehicle C, \(d = 30\) km and \(t = 1\) hour. So \(v_C=\frac{30}{1}=30\) km/h.

Step5: Calculate speed for Vehicle D

For Vehicle D, \(d = 20\) km and \(t = 0.5\) hour. So \(v_D=\frac{20}{0.5}=40\) km/h.

Step6: Analyze options

• Option A: Vehicle D has an average speed of \(40\) km/h, not \(35\) km/h.
• Option B: Vehicle C has a speed of \(30\) km/h which is slower than Vehicle D's \(40\) km/h.
• Option C: Vehicle A has a speed of \(16\) km/h which is the slowest among them.
• Option D: Vehicle B and Vehicle D have the same speed of \(40\) km/h, so Vehicle B does not have a faster speed than Vehicle D.
• Option E: We need to compare all - calculated speeds. \(v_A = 16\) km/h, \(v_B=40\) km/h, \(v_C = 30\) km/h, \(v_D=40\) km/h. To find the highest - average speed, we see that Vehicle B and D have the highest speed among them.

Answer:

Vehicle B and Vehicle D have the highest average speed.