Question

A car that travels 20 miles in 1/2 hour at a constant speed is traveling at the same speed as a car that travels 30 miles in 3/4 hour at a constant speed. Explain or show why

Answer 1

Both The car A and B have same speed , i,e 40 miles per hours

Explanation:

Given as :

The distance cover by car A = 20 miles

The Time taken by car A =
`(1)/(2)` hours

So , From Distance = Speed ×Time

Or, 20 miles = speed ×
`(1)/(2)`

∴ Speed = 20 × 2 = 40 mph

So , Speed = 40 miles per hour

Again ,

The distance cover by car B = 30 miles

The Time taken by car A =
`(3)/(4)` hours

So, From Distance = Speed ×Time

Or, 30 miles = speed ×
`(3)/(4)`

∴ Speed =
`(30×4)/(3)` = 40 mph

So , Speed = 40 miles per hour

Hence From the solutions for both car A and B , it is clear that both the car have same speed . Answer