Complete question :
Bernie and Chloe hiked the Tremont Trail to the end and back. Then they hiked the Wildflower trail to the end before stopping to eat lunch. Before Ricardo ate his lunch, he hiked 2 2/3 times as far as Bernie and Chloe. How far did he hike?
Required diagram is attached below
Answer:
25 miles
Step-by-step explanation:
Tremont Trail = 3 1/2 miles
Wildflower trail = 2 3/8 miles
Distance covered ; Tremont Trail and back : (3 1/2 * 2). = 7/2 * 2 = 14 /2 = 7 miles
Total distance covered by Bernie and Chloe before stopping for lunch /
(7 miles + 2 3/8 Miles) = 9 3/8 miles = 75/8 miles
Ricardo's distance = 2 2/3 * Bernie and Chloe's total distance
Ricardo's distance = 8/3 * 75/8 = 600 /24 = 25 miles
Since you technically didn't ask for anything to be solved for, this problem is now solved. Since these types of problems are normally solving for legnth if width is given and vice versa, I will solve for legnth.
perimiter=legnth+legnth+width+width or
p=l+l+w+w
p=2l+2w
subsitute w=6.5 and p=34
34=2l+2(6.5)
34=2l+13
subtract 13 from both sides
21=2l
divide by 2
10.5=l
legnth=10.5 units