Question

Could someone create Equations & Explanations based on this question, because I need to solve using substitution and later modify it to create a system of inequalities.

Answer 1

3 hours

Explanation:

If both the cars are moving in the same direction,

Speed of orange sports car = 60 miles per hour

Since, this car has already moved for 1 hour,

Distance covered by the sports car = speed × time

= 60 × 1

= 60 miles

Speed of the green van = 30 miles per hour

Since, green van has already moved for the duration = 3 hours

Distance covered by the green van = speed × time

= 40 × 3

= 120 miles

Therefore, distance between sports car and green van = 120 - 60

= 60 miles

Relative speed of orange sports car with respect to green van = Speed of sports car - speed of green van

= 60 - 40

= 20 miles per hour

Time taken by the orange sports car to cover 60 miles (Distance between sports car and green van) =
`\frac{\text{Distance between the car and van}}{\text{Relative speed of the sports car}}`

=
`(60)/(20)`

= 3 hours

Therefore, orange sports car will take 3 hours to pass the green mini green van.