place A and B are 80 kilometre apart from each other and have a car starts from A and another from B at the same time if they movie in same Direction they meet in 8 hour and if they move towards Each Other they meet in 1 hour 20 minutes find the speed of car
Answers
Answer:
Speed of the first car = x = 35km/hr
Speed of the second car = 25km /hr
Step-by-step explanation:
Hi,
Let the speed of the first car which starts from A = x km /hr
Speed of the second car which starts from B = y km / hr
Given Distance between two places A and B as 80km
Let d = 80 km
i ) if the cars move in same direction
Relative speed between them = ( x + y ) km/hr
Time = 8hr
8 = 80 / ( x + y )
x + y = 80 / 8
x + y = 10 ------( 1 )
ii ) if two cars moving opposite direction,
Relative speed = ( x - y ) km / hr
Time = 1 hr 20 minutes
= ( 1 + 20 / 60 ) hr
= ( 80/60)
= 4/3 hr
4/3 = 80 / ( x -y )
x -y = ( 80 × 3 ) / 4
x - y = 60-----( 2 )
Adding ( 1 ) and ( 2 ) , we get
2x = 70
x = 35
Putting x = 35 in ( 1 ) we get ,
y = 25
Therefore ,
Speed of the first car = x = 35km/hr
Speed of the second car = 25km /hr
Hope, it helps !
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 .