If it takes 6 minutes to travel from point A to point B at a constant speed of 60 miles per hour, how many minutes does it take to travel the same route from point A to point B at a constant speed of 50 miles per hour?
let extra time for second trip be t hrs
(6/60)(60) = (6/60 + t)(50)
6 = 5 + 50t
50t = 1
t = 1/50 hours more
or 1.2 minutes
To answer this question, we can use the formula:
Time = Distance / Speed
We are given that it took 6 minutes to travel from point A to point B at a constant speed of 60 miles per hour. Let's assume the distance between point A and point B is D.
Using the formula, we have:
6 minutes = D / 60 miles per hour
To find the distance D, we can rearrange the equation:
D = 6 minutes * 60 miles per hour
D = 360 miles
Now, we can calculate the time it takes to travel the same distance at a constant speed of 50 miles per hour.
Time = 360 miles / 50 miles per hour
Time = 7.2 hours
To convert this to minutes, multiply by 60:
Time = 7.2 hours * 60 minutes per hour
Time = 432 minutes
Therefore, it takes 432 minutes to travel the same route from point A to point B at a constant speed of 50 miles per hour.