14. Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If
they travel towards each other, they meet in 1 hour. What are the speeds of the two cars? While
driving, the driver should maintain the speed limit as allowed Comment.
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let the speed of car A be x
and the speed of car B be y then
when cars traveling in same direction with different speed then their speeds will be added
then speed = distance/time
time = distance/speed
= 100/x + 100/y= 5hrs ......ep 1
when cars are traveling in the opposite direction with different speed then their speeds will be subtracted
then 100/x - 100/y= 1hr .....eq 2
on solving both eqs
200x = 6hrs
x = 33.3kmph
and the speed of car B be y then
when cars traveling in same direction with different speed then their speeds will be added
then speed = distance/time
time = distance/speed
= 100/x + 100/y= 5hrs ......ep 1
when cars are traveling in the opposite direction with different speed then their speeds will be subtracted
then 100/x - 100/y= 1hr .....eq 2
on solving both eqs
200x = 6hrs
x = 33.3kmph
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