Maria normally spends a half-hour driving to work. When her average speed is ten miles per hour slower than usual, the trip takes ten minutes longer. How many miles does she drive to work?
s*(1/2) = (s-10)(1/2 + 1/6)
s = 40
check:
40mi/hr * 1/2 hr = 20 mi
30mi/hr * 2/3 hr = 20 mi
To find out how many miles Maria drives to work, you can use the formula:
Distance = Speed × Time
Let's assume Maria's usual speed is S miles per hour and her usual time to drive to work is T hours. So, her usual distance can be calculated as:
Distance = S × T
According to the problem, when Maria's average speed is ten miles per hour slower (S - 10) than usual, the trip takes ten minutes (1/6 hour) longer. Therefore, her new time to drive to work can be expressed as:
T + 1/6 = T + 10/60
Simplifying this equation gives us:
1/6 = 10/60
To solve for T, we can eliminate the common denominator:
10 = 60 × 1/6
10 = 10
So, we see that the equation is true for any value of T, which means the value of T doesn't restrict the calculation of distance.
Therefore, we can conclude that the distance Maria drives to work remains the same, regardless of her speed or time. The problem does not provide information about the specific distance, so we cannot determine how many miles she drives to work based on the given information.