Question

distance between two places a and b is 210 km two cars start simulataneously from A and B in opposite direction and distance between them after hours is 54 km. if speed of one of the car is less than that of the Other by 8 km/hr find the speed of each

Answer 1

Answer:

The speed of car from point A  82 km/h

The speed of car from point B is 74 km/h    

Step-by-step explanation:

Given as :

The distance between two points A and B = 210 km

Two cars moves in opposite direction

After 1 hour distance between them = 54 km

So, The distance cover by cars = 210 km - 54 km = 156 km

Let The Distance cover by car from A = d km

Let The distance cover by car from B = ( 156 - d )km

The speed of car From A = s km/h

So, The speed of car from b = (s - 8) km/h

∵  Distance = speed × time

From point A

 d = s × t

or,  d = s × 1

i.e  d = s               ..............1

From point B

156 - d = (s - 8) × 1

i.e 156 - s = s - 8           from eq1

Or, 156 +8 = 2 s

Or, 2 s = 164

∴   s = $\dfrac{164}{2}$

i.e  s = 82 km/h

So, The speed of car from point A = 82 km/h

Again

The speed of car from b = (s - 8) km/h = 82 - 8 = 74 km/h

Hence, The speed of car from point A  82 km/h

And The speed of car from point B is 74 km/h     . Answer