( urgent my brother's exam tmrw) places A and B are 80km apart from each other on a highway.A car starts from A and another from B at the same time. if they move in the same direction they meet in 8hours and if they move towards each other,they meet in 1hour20minutes,find the speed of the cars.
BrainlyHulk:
yeah
Answers
Answered by
3
Answer:
a= 35. , b=25
Step-by-step explanation:
Let speed of A be Km/h and speed of B be km/h
And we know that distance =80km
80=(a-b) ×8 and 80=(a+b)×(4/3)
a-b=10 and a+b=60
a= 35. , b=25
(Answer)
Answered by
4
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
Hope it helps!
Best wishes!
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
Hope it helps!
Best wishes!
Similar questions