Question 635903
The distance Cyrus runs in 15 minutes is (15/60)*5=1.25 miles. Let x be the distance the two will travel after the 15 minutes then

1.25+x/8=x/5

40*1.25+5*x=8*x

50=3*x

x=16.6

So 16.6 is the distance the two will travel before they meet. Jaden will travel this distance in (16.6+1.25)/8=17.91/8=2.24=2 hours 14.4 minutes



The distance the truck traveled is 65*(45/60)=48.75 miles. Let d be the distance after the marker that will have been traveled when the motorcycle meets the truck then

45/60+d/65=d/50

130*.75+2*d=2.6*d

97.5=.6*d

d=162.5

The time the motorcycle takes to travel this distance is 2.5 hours. Adding this to the 45 minutes yields 3 hours 15 minutes