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?

Question

13-04-2018
Mathematics

contestada

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?

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aquialaska aquialaska · Answer 1 · 2019-05-14T10:15:47+02:00

Answer:

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

[tex]v1=\frac{x}{14}+\frac{280}{14}=\frac{x}{14}+20[/tex]

[tex]v2=\frac{x}{14}[/tex]

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.

raphealnwobi raphealnwobi · Answer 2 · 2022-01-21T13:44:41+01:00

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

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: https://brainly.com/question/4931057