Answer:
1. Lin 6 7/8 miles, Noah 6 1/2 miles
2. Lin will take 8 8/11 minutes while Noah will take 9 3/13 minutes
3. Lin ran faster because it took him less amount of time to cover same distance of 1 hour
Explanation:
Explanation:
Here, we are told that Lina ran 2 3/4 miles in 2/5 of an hour while Noah ran 8 2/3 miles in 4/3 of an hour.
1. We want to know how far Noah will run in an hour
1 hour is 60 minutes;
So 4/3 of an hour is 4/3 * 60 = 80 minutes
thus;
if he ran 8 2/3 miles in 80 minutes
then he ran x miles in 1 hour(60 minutes)
8 2/3 is same as 26/3 miles
Thus;
26/3 * 60 = 80 * x
x = 26/3 * 60/80 = (26 * 20)/80 = 26/4 = 13/2 = 6 1/2 miles
Lin ran 2 3/4 miles in 2/5 hour (2/5 * 60 = 24 minutes)
2 3/4 miles took 24 minutes
x mile will take 60 minutes
60 * 2 3/4 = 24 * x
60 * 11/4 = 24x
165 = 24x
x = 165/24
x = 6 21/24 = 6 7/8 miles
Lin will run 6 7/8 miles in an hour
2. we want to know how long it will take both of them to run 1 mile
Lin ran 2 3/4 miles in 2/5 of an hour
meaning, he ran 2 3/4 in 2/5 * 60 = 24 minutes
2 3/4 miles was ran in 24 minutes
1 mile will take x minutes
1 * 24 = 2 3/4 * x
24 = 11/4 * x
x = 4 * 24/11 = 96/11 = 8 8/11 minutes
For Noah
6 1/2 miles was ran in 1 hour
1 mile will be ran in x hours
13/2 * x = 60 minutes * 1
x = (2 * 60)/13
x = 120/13
x = 9 3/13 minutes
c. Lin ran faster because he took the lesser amount of time to travel 1 mile