Ms. Handler walks to work at an average speed of 5 kilometers per hour. If she increases her speed to 6 kilometers per hour, she will save 10 minutes. Find the distance she walks.
so whats the answer
since time = distance/speed,
d/5 = d/6 + 1/6
Now just find d.
i agree with booty, give us the answer steve
To find the distance Ms. Handler walks, we can use the formula:
Distance = Speed × Time
Let's assume the distance she walks is "D" kilometers.
At her average speed of 5 kilometers per hour, the time it takes her to walk the distance D is:
Time1 = Distance / Speed1 = D / 5
If she increases her speed to 6 kilometers per hour, the time it takes her to walk the same distance D is given by:
Time2 = Distance / Speed2 = D / 6
We are given that by increasing her speed, she saves 10 minutes. Since there are 60 minutes in an hour, we can convert 10 minutes to hours:
10 minutes / 60 minutes per hour = 10/60 = 1/6 hour
So, Time2 = Time1 - 1/6
Using the equations for Time1 and Time2, we can create an equation to solve for the distance D:
D / 6 = (D / 5) - (1/6)
To solve for D, we can multiply the entire equation by 30 to eliminate the fractions:
5D = 6D - 5
Rearranging the equation, we get:
D = 5
Therefore, the distance Ms. Handler walks is 5 kilometers.