Place A and B are 80 km apart from each other on a highway . A car starts from A and other from B at the same time. If they move in the same direction , they meet in 8 hrs and If they move in opposite direction , they meet in 1 hour 20 min . Find the speeds of the cars..
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let the speed of car at b :y km\hr 8x-8y=80
x-y=20............(1)
-x-y=80............(2)
= -2y =-60
y= 30
substituting the value of y in equation (1)
x-y =20
x-30=20
x=20+30=50
Answer:
Speed of Car A and B are 35 km / hr and 25 km / hr respectively.
Step-by-step explanation:
Let the speed of car at A is x km / hr and at B is y km / hr
Case 1.
8 x - 8 y = 80
x - y = 10
x = 10 + y ... ( i )
Case 2.
4 / 3 x + 4 / 3 y = 80
x + y = 60
x = 60 - y ... ( ii )
From ( i ) and ( ii )
10 + y = 60 - y
y = 25
Putting value of y in ( i )
x = 10 + 25
x = 35 .