Places a and b are 80km apart from each other on a highway. A car starts from A and another fromB at the same time.if the move in the same direction they meet in 8 hours and if they move towards each other they meet in 1hour 20 minutes. Find the speed of the cars
Answers
Answer:
Step-by-step explanation:Let the speed of car starting from A be 'x' km/h and speed of car starting from B be 'y' km/h.
Total distance=80 km
Also 1 hour 20 mins= 4/3 hour
As per given condition, When car moves in same direction,
Distance travelled by y= 8y km
Distance travelled by x= 8x= 80+8y
Now, Equation formed is 8x=80+8y
=> 8x-8y=80
=> x-y=10 ----(1)
Similarly, For opposite direction,
Distance travelled by x= (4/3)x
Distance travelled by y= (4/3) y
Also total distance covered= 4/3*x+4/3y
=> 80= 4x+4y/3
=> 240= 4x+4y
=> 60=x+y ----(2)
Solving Equation (1) and (2)
60=x+y ----(2)
x-y=10 ----(1)
=> x= 10+y ----(3)
Substituting the value of (3) in (2) we get,
60= 10+y+y
=> 60-10=2y
=> 50=2y
=> 25=y
Also, x=10+y=> x= 10+25=> x=35
Therefore Speed of car starting from A is 35km/h
Speed of car starting from B is 25km/h
Answer:
Step-by-step explanation: