Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
Answer:
The distance of the run is 10 miles
The distance of the bicycle race is 69 miles
Step-by-step explanation:
Let:
- r = the distance for the run
- 79 - r = the distance for the bicycle race
- t = the time of the run
- 5 - t = the time of the bicycle race
The run: r = 5t
The bicycle race: 79 - r = 23(5 - t)
Simplify the bicycle race:
- 79 - r = 115 - 23t
- -r = 36 - 23t
- r = 23t - 36
Now we have two equations set up for r
- r = 5t
- r = 23t - 36
We know that r = r, so 5t must equal 23t - 36
- 5t = 23t - 36
- 5t + 36 = 23t
- 36 = 18t
- t = 2
Now we know that the run took 2 hours.
Plug it back into the equation for the run to find the distance for the run
- r = 5t
- r = 5(2)
- r = 10
The run is 10 miles
To solve for the bicycle race, we simply subtract 10 from 79, because we know that the two distances combined are 79.
- 79 - 10 = 69
The bicycle race is 69 miles.
-Chetan K
Answer:
- run: 10 miles
- bike race: 69 miles
Step-by-step explanation:
Let r represent the distance run. Then 79-r is the distance biked. The total time is ...
time = distance/speed
5 = (r/5) +(79-r)/23 . . . . sum of time running and time biking
575 = 23r +5(79 -r) . . . . multiply by 115
180 = 18r . . . . . . . . . . . . . subtract 395
10 = r . . . . . . . . . . . divide by 18
79-r = 69 . . . . . . distance biking
The distance of the run is 10 miles; the bicycle race is 69 miles.
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.