SOLUTION: two cars started a journey from A to B 150 km apart on the same road towards each other. The car from A travelled at a constant speed of 10knn/h more then that of the other car tha

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Question 681525: two cars started a journey from A to B 150 km apart on the same road towards each other. The car from A travelled at a constant speed of 10knn/h more then that of the other car that also travelled at a constant speed. the two cars crossed each other after 72 mins. what was the speed of the car that started from b.
Answer by ankor@dixie-net.com(22740) (Show Source):
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two cars started a journey from A to B 150 km apart on the same road towards each other.
The car from A traveled at a constant speed of 10knn/h more then that of the other car that also traveled at a constant speed.
the two cars crossed each other after 72 mins.
what was the speed of the car that started from b.
:
Let s = Car from A speed
then
(s-10) = Car from B speed
:
Change 72 min to 1.2 hrs
:
Write a distance equation; dist = time * speed
Car A dist + Car B dist = 150 km
1.2s + 1.2(s-10) = 150
1.2s + 1.2s - 12 = 150
2.4s = 150 + 12
s = 162/2.4
s = 67.5 km/hr car A
then
57.5 km/hr car B
:
:
See if that checks out, find the dist each traveled
1.2(67.5) = 81 km
1.2(57.5) = 69 km
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total dist: 150 km