Answer:
0.3 hour
Step-by-step explanation:
From the question given above, the following data were obtained:
Distance travelled = 90 km
Speed of 1st car = 50 km/h
Speed of 2nd car = 60 km/h
Time interval separating the two cars =?
Next, we shall determine the time taken for each car to get to the destination. This can be obtained as follow:
For the 1st car:
Distance travelled (d) = 90 km
Speed of 1st car (S₁) = 50 km/h
Time (t₁) =?
Speed = Distance /time
S₁ = d/t₁
50 = 90 / t₁
Cross multiply
50 × t₁ = 90
Divide both side by 50
t₁ = 90 / 50
t₁ = 1.8 hours
For the 2nd car:
Distance travelled (d) = 90 km
Speed of 2nd car (S₂) = 60 km/h
Time (t₂) =?
Speed = Distance /time
S₂ = d/t₂
60 = 90 / t₂
Cross multiply
60 × t₂ = 90
Divide both side by 60
t₂ = 90 / 60
t₂ = 1.5 hours
Finally, we shall determine the time interval separating the arrival of the two cars. This can be obtained as follow:
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