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?
Let speed of
faster car = x Km/ h
Speed of
slower car = y km /h
Relative speed
when both car travels in same direction = x - y
If the cars
travel in the same direction at different speeds, they meet in 5 hours
Speed =
distance/ time
Total
distance = 100 km
Speed x – y =
100/5
X – y = 20
Add y both
side we get
X = 20 + y …(1)
Relative speed
when both car travels in opposite direction = x + y
If they travel
towards each other, they meet in 1 hour.
Speed =
distance/ time
Total
distance = 100 km
Speed x + y = 100/1
Plug the value
of x form equation first we get
20 + y + y =
100
2y = 80
Y = 40
Plug the value
of y in equation first we get
X = 20 + 40
X = 60
Hence speeds are 40 Km /h and 60 Km /h
