I have a simple word problem involving division of fractions:
Dan and Bart are competing in a 100-meter sprint. Dan can run 22/7 metres a second, and Bart can run 41/2 metres in 56/9 seconds. Which contestant finishes first, and by how many meters ahead of the other?
If anyone can help me understand the process of solving this? I'm currently studying for the GED, and I'm having trouble trying to find a solution. I've tried converting the fractions to decimals to help me understand better. So, Dan runs 3.14 metres per second and Bart runs 20.5 metres per 6.22 seconds.
After this I tried multiplying Dan's metres per second by 6.22, so he would be running at 19.53 metres per 6.22 seconds? Now I divide 100 metres by their metres and multiplying by seconds.
Dan = 5.12 x 6.22 = 31.84 seconds per 100 metres
Bart = 4.87 x 6.22 = 30.29 seconds per 100 metres
Now I find myself stuck trying to answer by how many meters ahead of the other. If anyone could show their process of solving it, would be greatly appreciated! Thank you so much!
Dan = 5.12 x 6.22 = 31.84 seconds per 100 metres
Bart = 4.87 x 6.22 = 30.29 seconds per 100 metres
Bart wins the race. Dan is .95x slower than Bart and loses the sprint by 5 metres