Asked by Kelsie
During the race, Bernie ran 9 meters every 4 seconds, while Barnaby ran 2 meters evey second and got a 10 meter head start. If the race is 70 meters long, did Bernie ever catch with Barnaby? If so, when?
I have to use a proportion to solve this.
I have to use a proportion to solve this.
Answers
Answered by
drwls
The proportion can be the speed: 9/4 = 2.25 m/s for Bernie and 20.00 m/s for Barnaby.
The distance from the starting line at time t after the start is
X1 (Barnaby) = 10 + 2 t
X2 (Benie) = 2.25 t
Bernie passes Barnaby when X1 = X2. Solve for the X where that happens.
10 + 2t = 2.25 t
10 = 0.25 t
t = 40 seconds
X1 = X2 = 90 m
The distance from the starting line at time t after the start is
X1 (Barnaby) = 10 + 2 t
X2 (Benie) = 2.25 t
Bernie passes Barnaby when X1 = X2. Solve for the X where that happens.
10 + 2t = 2.25 t
10 = 0.25 t
t = 40 seconds
X1 = X2 = 90 m
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.