Two cars leave simultaneously from points a and b, the distance between which is 280 km. if the cars move to meet each other, they’ll meet in 2 hours. but if they move in the same direction, then the car going from point a will catch up with the car going from point b in 14 hours. what is the speed of each of the cars?

The car going from point A is moving at 80 km/h and the car going from point B is moving at 60 km/h.

Speed is the ratio of the distance travelled to time taken. It is given by:

Speed = distance / time

Let x represent the speed of car at point A and y represent the speed of car at point B.

If the cars move to meet each other, they’ll meet in 2 hours. Hence:

x = d₁ / 2

d₁ = 2x

Also:

y = d₂ / 2

d₂ = 2y

The distance between which is 280 km. Therefore:

d₁ + d₂ = 280

2x + 2y = 280   (1)

The car going from point A will catch up with the car going from point B in 14 hours if moving in same direction.  Hence:

x = d₁ / 14

d₁ = 14x

Also:

y = d₂ / 14

d₂ = 14y

d₁ = d₂ + 280

14x = 14y + 280  

14x - 14y = 280    (2)

Solving the equations simultaneously gives:

x = 80, y = 60

The car going from point A is moving at 80 km/h and the car going from point B is moving at 60 km/h.

Find out more on speed at: link

Speed of Car A is 80 km/h   and speed of Car B is 60 km/h.

Step-by-step explanation:

let v1 be speed of car A and v2 be speed of car B.

Then According to Question,

If they move in the same direction, then Car A will travel an ( x + 280 ) km while Car B will travel an x km. They both cover this in 14 hr.

using speed distance formula, we get

v1 × 14 = x + 280  

v2 × 14 = x  

v1 = v2 + 20 .................(1)

Moving towards each other, they'll collectively cover 280 km in 2 hours.

2 × (v1 + v2) = 280  

2 × (v2 + 20 + v2) = 280   (from eqn (1))  

v2 + v2 + 20 = 140  

2 × v2 = 120  

v2 = 60  

v1 = 60 + 20 = 80  

Therefore, Speed of Car A is 80 km/h   and speed of Car B is 60 km/h.

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!