Fred walked a trail at 2 mph. paul started 30 minutes later on the same trail and walked at a pace of 3 mph. create a system of equations in which y represents the distance walked in miles and x represents the time walked in hours. explain what this solution means in terms of paul catching up to fred.

Paul will catch Fred after at a distance .

Step-by-step explanation:

Distance is represented by and the time is represented by . Here after hours(when Fred started) the distance covered by Fred and Paul is same that is .

For Fred:

time=

distance=

Speed

Paul:

Since Fred started 30 minutes earlier, so Paul's travel time will be 30 minutes less than that of Fred.

Time

Speed

Distance

Hence system of equation

Solution of this system of equations gives the time, when Paul will catch Fred and distance covered by each of them.

Time taken by Paul

Hence Paul will catch Fred after at a distance .

7,24

step-by-step explanation: