Question

a bus averages 6 miles per hour faster than a trolley. if the bus travels 90 miles in the same time it takes the trolley to travel 75 miles, then what is the speed of each?

Answer 1

I honestly dont know, just here for the points ;-;

Explanation:

sorry

Answer 2

The first thing we are going to do for this case is to define a variable.
x: speed of the trolley
Then, by definition we have to:

`t = d / v`
Where,
t: time
d: distance
v: speed
For the bus we have:

`t = 90 / (x + 6)`
For the trolley we have:

`t = 75 / x`
Since the time is the same then we have:

`90 / (x + 6) = 75 / x`
From here, we clear the value of x:

`90x = 75 (x + 6) 90x - 75x = 450 25x = 450 x = 450/25 x = 18`
So, the speed of the trolley is:

`x = 18 m / h`
The bus speed is:

`x + 6 = 18 + 6 = 24 m / h`
Answer:
Trolley: 18 m / h
Bus: 24 m / h