Two cars start moving from the same point on a rectilinear path at the same time, heading to the same destination 90 km away. The first travels at an average speed of 50 km/h and the second at 60 km/h. Determine the time interval separating the arrival of the two cars to their destination.?​

Respuesta :

Answer:

0.3 hour.

Explanation:

Given,

Distance travelled = 90 km

Speed of 1st car = 50 km/h

Speed of 2nd car = 60 km/h

Time interval separating the two cars =?

Solution,

For the 1st car:

Distance travelled (d) = 90 km

Speed of 1st car (S₁) = 50 km/h

Time (t₁) =?

Speed = Distance /time

50 = 90 / t₁

50 × t₁ = 90

t₁ = 90 / 50

t₁ = 1.8 hours answer.

And,

For the 2nd car:

Distance travelled (d) = 90 km

Speed of 2nd car (S₂) = 60 km/h

Time (t₂) =?

Speed = Distance /time

60 = 90 / t₂

60 × t₂ = 90

t₂ = 90 / 60

t₂ = 1.5 hours

Then,

Time for the 1st car (t₁) = 1.8 hours

Time for the 2nd (t₂) = 1.5 hours

Time interval separating the two cars (tₛ) =?

tₛ = t₁ – t₂

tₛ = 1.8 – 1.5

tₛ = 0.3 h

Thus, the interval separating the arrival of the two cars is 0.3 hour.