SOLUTION: Sumalee left the movie theatre and drove towards the desert. 1.4 hours later Jose left driving 31.5 km/h faster in an effort to catch up to her. After 1.2 hours Jose finally caugh

Question 881477: Sumalee left the movie theatre and drove towards the desert. 1.4 hours later Jose left driving 31.5 km/h faster in an effort to catch up to her. After 1.2 hours Jose finally caught up. What was Sumalee's average speed?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Sumalee left the movie theatre and drove towards the desert.
1.4 hours later Jose left driving 31.5 km/h faster in an effort to catch up to her.
After 1.2 hours Jose finally caught up.
What was Sumalee's average speed?
:
Let s - Suma's speed
then
(s+31.5) = J's speed
:
S's travel time: 1.2 + 1.4 = 2.6 hrs
:
When J catches S they will have traveled the same dist, write a dist equation
(dist = time * speed)
2.6s = 1.2(s+31.5)
2.6s = 1.2s + 37.8
2.6s - 1.2s = 37.8
1.4s = 37.8
s = 37.8/1.4
s = 27 km/hr is Suma's speed
:
:
Confirm this, find the dist of both, should be equal
2.6 * 27 = 70.2 km
1.2 * 58.5 = 70.2
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