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Points A and B are separated by a distance of 100 km. Two cars start moving from these points in a same direction, they meet after 5 hrs. If the cars

travel towards each other they meet after 1 hr. What are their speeds?


Let speed of car A= x km/hr,
speed of car B=y km/hr
two cars travel in the same direction.
relative speed v=x-y km/hr 
distance d=100 km, they meet after 5 hrs. therefore t=5 hrs
5×(x-y)=100⇒ x-y=20.............(1)
two cars travel in the opposite direction
relative speed v=x+y km/hr, d=100 km, they met after 1 hr therefore t=1 hr
solving (1) and (2) we get 
x=60km/hr y=40 km/hr
1 5 1
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