SOLUTION: two cars started from the same point and traveling in opposite direction.one traveled at the half the speed of the other.After 5 hours they were 600 km apart.What is the speed of t

Click here to see ALL problems on Length-and-distance

Question 514294: two cars started from the same point and traveling in opposite direction.one traveled at the half the speed of the other.After 5 hours they were 600 km apart.What is the speed of the faster car?
Answer by Maths68(1474) (Show Source):
You can put this solution on YOUR website!
Let
Car A Speed = a km/h
Car B Speed = a/2 km/h
==============================================================
Car A will travel total distance in 5 hours = a * 5 = 5a km
Car B will travel total distance in 5 hours = a/2 * 5 = 5a/2 km
They are traveling in oppisite directions so
sum of the distance travelled by both Cars = 600km
5a+5a/2=600
(10a+5a)/2=600
15a/2=600
15a=600*2
15a=1200
a=1200/15
a=80
==================================================================
Car A Speed = a=80 km/h
Car B Speed = a/2=80/2=40 km/h
===================================================================
Check
Distance travelled by Car A = 80 * 5 = 400 km
Distance travelled by Car B = 40*5 = 200km
Total Distance b/w Car A and B = 400+200 = 600 km