Two cars are 15 kms apart One is turning at a speed of 50kmp

Two cars are 15 kms apart. One is turning at a speed of 50kmph and the other at 40kmph . How much time will it take for the two cars to meet?

Solution

If they are heading towards each other.
50t+40t=15
90t=15
t=1/6 hr =10 minutes if heading towards each other

If the slower car is 15 km ahead
then 40t+15=50t
15=50t-40t
15=10t
15/10=t
1.5 hrs forthe 50 kph to catch up
if the 50 kph is ahead by 15k
50t+15=40t
15=-10t
15/-10=t
-1.5 hr=t
time can\'t go backwards so the slower car can never catch up.