Question 697495
 Elmore and Sonjay cross-country skied along the same trail.
 Sonjay skied at 12ft/s. 
Elmore skied at 15ft/s and started down the trail 2 min after Sonjay started.
 The two skiers reached the first fork in the trail at the same time.
:
a. How long after Sonjay started did the two skiers meet?
Change 2 min to 120 sec
let t = S's skiing time
then
(t-120) = E's skiing time
:
When E catches S, they will have traveled the same dist
write distance equation; dist = speed * time
:
E's dist = S's dist
15(t-120) = 12t
15t - 1800 = 1t
15t - 12t = 1800
3t = 1800
t = 600 secs (10 min) after S starts, is caught by E
:
:
b. How far was it to the first fork?
12(600) = 7200 ft
check
15(600-120) = 7200 ft