Question

The distance (d) a vehicle travels at a given speed is directly proportional to the time (t) it travels. If a vehicle travels 40 miles in 60 minutes, how far can it travel in 90 minutes ?

Answer 1

Okay, let's think this through step-by-step:

We know: Distance (d) is directly proportional to Time (t)

This means there is a constant ratio between d and t. We can represent this as:

d = k * t (where k is the constant of proportionality)

Given: Vehicle travels 40 miles in 60 minutes

So: d = 40 miles and t = 60 minutes

We can substitute into the proportionality equation to calculate k:

40 = k * 60

=> k = 2/3

Now we want to calculate the distance traveled in 90 minutes:

d = k * t (using the proportionality equation)

d = (2/3) * 90 (using the calculated k value)

d = 60 miles

So in 90 minutes, the vehicle can travel 60 miles.

Does this make sense? Let me know if you have any other questions!

Explanation: