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 a constant speed of 50 miles per hour? I need an equation and a thorough/ clear explanation on how to get answer.
distance from A to B = time x rate
= (6/60) (60) = 6 miles
So time to go at 50 mph , (Time = distance/rate)
= 6/50 hrs
= 6/50 * 60 minutes = 7.2 minutes
To solve this problem, we can use the formula for speed, which is:
Speed = Distance / Time
In this case, the distance between Point A and Point B is not given, but we know the speed and time it takes to travel between the two points.
At a speed of 60 miles per hour, it takes 6 minutes to travel from Point A to Point B. To calculate the distance, we can rearrange the formula for speed as follows:
Distance = Speed x Time
Distance = 60 miles/hour x (6 minutes / 60 minutes)
Distance = 1 mile
Now that we know the distance between Point A and Point B, we can find the time it takes to travel the same route at a constant speed of 50 miles per hour. Rearranging the formula for speed:
Time = Distance / Speed
Time = 1 mile / 50 miles/hour
Since we want to find the time in minutes, we need to convert hours to minutes. There are 60 minutes in an hour, so:
Time = (1 mile / 50 miles/hour) x (60 minutes / 1 hour)
Time = 1.2 minutes
Therefore, it would take 1.2 minutes to travel the same route from Point A to Point B at a constant speed of 50 miles per hour.
Equation:
Time = (Distance / Speed) x (60 minutes / 1 hour)