Jennifer rode her bike to the store at a rate of 15 mph. She rode back home at a rate of 10 mph. How far is it to the store if the round trip takes an hour?
x/15 + x/10 = 1
multiply by 150
10x + 15x = 150
etc
6 miles
with amazon
jen rides her bike 15 miles per hour. her speed in miles per hour would be
To find the distance to the store, we need to first understand the concept of speed, distance, and time.
Speed is the rate at which an object moves, measured in units of distance per unit of time. Distance is the total amount of ground covered by an object, and time is the duration it takes for an object to travel a certain distance.
In this case, the total round trip took one hour. Let's denote the distance to the store as "d" (in miles).
When Jennifer rode her bike to the store, she traveled at a rate of 15 mph. So, the time it took for this leg of the trip can be calculated as follows:
Time = Distance / Speed
Time = d / 15
When Jennifer rode her bike back home, she traveled at a rate of 10 mph. So, the time it took for this leg of the trip can be calculated as follows:
Time = Distance / Speed
Time = d / 10
Since the total round trip took one hour, we can write the equation:
(d/15) + (d/10) = 1
To solve this equation, we can multiply both sides by the least common multiple of 15 and 10, which is 30:
2d + 3d = 30
5d = 30
d = 6
Therefore, the distance to the store is 6 miles.