Question
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  1. You are planning a bicycle trip for which you want to average . You cover the first half of the trip at an average speed of . What must your average speed be in the second half of the trip to meet your goal?
  2. You have 6.0 hours to travel a distance of 140 km by bicycle. How long will it take you to travel the first half at an average speed of ?
In the second half of the ride, you need to increase your average speed to make up for lost time. If you can maintain an average speed of , will you be able to reach your destination on time?
What is the average speed you need to maintain in the second half of the bike ride to make up for lost time?

If light travels at , how long will it take light from the Sun to reach a planet that is 6.45 light years away?
yr
How far will the light have traveled in meters? (Use a value of exactly days for a year.)

Ask by Hampton Horton. in the United Arab Emirates
Jan 21,2025

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Tutor-Verified Answer

Answer

Problem 9:
To average 24 km/h for a trip, if the first half is at 21 km/h, the second half must be at 28 km/h.
Problem 10:
  • a) Traveling the first half at 21 km/h takes 3 hours and 20 minutes.
  • b) Maintaining 25 km/h in the second half results in a total time of 6 hours and 8 minutes, which is over the 6-hour limit.
  • c) To reach on time, you need to average approximately 26.25 km/h in the second half.
Problem 11:
  • a) It takes 6.45 years for light to reach the planet.
  • b) Light travels approximately 6.10 × 10¹⁶ meters in that time.

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Extra Insights

Cycling speed is a crucial aspect of planning any bike trip, and knowing your average speed can help you optimize your journey. To meet your goal of averaging , you’ll indeed need to pedal hard in the second half. If you’ve completed half the distance at , you should calculate the time taken and then determine the required speed for the second half. Spoiler alert: You might need to pick up the pace!
Time is of the essence in any bike ride! With your initial speed of , you can calculate how long the first half of your 140 km trip will take, which is 3.33 hours. With only 6 hours to complete the entire ride, you’ll have 2.67 hours left for the second half. If you maintain , you’ll finish just in time, but keep those legs pumping because you may be cutting it a bit close!

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