Riding a bike a person takes 20 minutes to go to work. the trip back home takes 30 minutes. if the rate back is 8 mph slower than the trip to work, find the rates (speeds) each way and the distance to work.

Trip to work has rate:  24 mphTrip back to home has rate: 18 mphDistance to work is:  480 mStep-by-step explanation:

We know that speed is defined as the ratio of distance to time.

i.e.

Let the distance traveled to work be: x m.

Now, while going to work it takes a person 20 minutes.

This means that the speed of the person while going to work is:

Also, the time taken to come back home is: 30 minutes.

This means that the speed of person while riding to home is:

Also, it is given that  the rate back is 8 mph slower than the trip to work.

This means that:

i.e.

Hence, the distance to work is:  480 m.

Also, the rate while going to work is:

and the trip back to home is covered with the speed:

The correct answer is c

10,000 hope i ! : )