Answer :
(a) The total distance travelled is 321 miles.
(b) The average speed for the entire journey is 19.1 mph.
(a) Working out the total distance travelled
David cycles for 14 hours at 20 mph, so he travels 20 * 14 = 280 miles in that time.
He then cycles for two hours at 16 mph. so he travels 16 * 2 = 32 miles in that time.
Finally, he cycles at 12mph for 45 minutes, which is 45/60 = 0.75 hours.
So, he travels 12 * 0.75 = 9 miles in that time.
Therefore, the total distance travelled is 280 + 32 + 9 = 321 miles.
(b) Working out the average speed for the entire journey
The entire voyage took a total of 14 + 2 + 0.75 = 16.75 hours.
So, the average speed for the entire journey is 321/16.75 = 19.1 mph.
(a) The total distance travelled is 321 miles.
(b) The average speed for the entire journey is 19.1 mph.
To learn more about average speed:
brainly.com/question/28026465
Final answer:
David traveled a total distance of 321 miles on his cycling trip. The average speed for his entire journey was 19.16 mph, calculated by dividing the total distance by the total time.
Explanation:
To solve the problem, we'll need to calculate the distance traveled in each segment of the journey and then the total distance and average speed.
Total Distance Travelled
- At 20mph for 14 hours: Distance = Speed × Time = 20mph × 14h = 280 miles.
- At 16mph for 2 hours: Distance = 16mph × 2h = 32 miles.
- At 12mph for 45 minutes: First, convert 45 minutes to hours by dividing by 60 (minutes in an hour). So, 45 minutes = 0.75 hours. Then, Distance = 12mph × 0.75h = 9 miles.
- Add up all distances: 280 miles + 32 miles + 9 miles = 321 miles.
The total distance travelled is 321 miles.
Average Speed for the Entire Journey
Average speed is total distance divided by total time.
- Total time = 14h + 2h + 0.75h = 16.75 hours.
- Average speed = Total distance ÷ Total time = 321 miles ÷ 16.75 hours = 19.16 mph.
The average speed for the entire journey is 19.16 mph.
