Question

places A and B are 80 km apart from each other on a highway A car starts from A and another from B at the same time they move in same Direction they meet in 8 hours and if they move towards Each Other they meet and 1 hour 20 minutes find the speed of cars

Answer 1

Here is your solution

Let

The speed of car starting from A be x km/h

speed of car starting from B be y km/h.

Total distance = 80 km

Also 1 hour 20 mins= 4/3 hour

Case :-1

When car moves in same direction:-

Distance travelled by y = 8y km.

Distance travelled by x = 8x = 80+8y

A/q

=>8x=80+8y

=> 8x-8y=80

=> x-y=10 .................................... (1)

Case:-2

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

A/q

=> 80= 4x+4y/3

=> 240= 4x+4y

=> x+y =60 ................................(2)

on Solving Equation (1) and (2)

x-y=10 .......................................... (1)

x+y = 60 ...................................(2)

x= 10+y ...................................(3)

Putting the value of x from equation (3) in (2) we get :-

=>10+y+y = 60

=> 2y = 60 -10

=>2y = 50

=> 25=y

From equation (3)

=>x=10+y

=> x= 10+25

=> x=35

Hence,

Speed of car starting from A is 35km/h✔

Speed of car starting from B is 25km/h✔

Hope it helps you

Answer 2

speed of car travelling from A is 35km/hr

and speed of car travelling from B is 25 km/hr.

hope it helps !!

solution given in attachment !!

All the best !! ..