Answer:
The loop they run at school is 2.75 miles
Step-by-step explanation:
Let's assume that the loop in the school is x miles long.
(a) Matt runs the loop for six days, therefore the distance covered by Matt during the six days is 6x miles.
on the seventh day which is on Sunday, he runs [tex]3\frac{1}{2} =3.5[/tex] miles
Therefore the total distance covered by Matt = (6x + 3.5) miles
(b) Cameron runs the loop for five days, therefore the distance covered by Cameron during the six days is 5x miles.
on the sixth day which is on Saturday, he runs [tex]2\frac{1}{2} =2.5[/tex] miles
on the seventh day which is on Sunday, he runs[tex]3\frac{3}{4} = 3.75[/tex] miles
Therefore the total distance covered by Cameron = (5x + 2.5 + 3.75) = (5x + 6.25) miles
Since they both run the same number of miles during the week,
⇒ 6x + 3.5 = 5x + 6.25
6x - 5x = 6.25 -3.5
[tex]x = 2\frac{3}{4}=2.75[/tex] miles
The loop they run at school is 2.75 miles
