Answer:
Goal is not achievable
Step-by-step explanation:
There are Two laps and the total distance here is 2miles. Now, it is said that he hopes to travel at a speed of 60mph, thus the total time that it would take him to complete the 2 miles distance race is 2/60 = 1/30 hours. Thus if he travels at a constant speed of 60mph he would finish the race at 1/30hours.
This means he will take a time of 1/60 hours per lap.
Now, he travels 30mph to complete 1 mile, the time taken for this is 1/30h
We now need to know the speed he travels on the second lap.
Average speed = Total distance/Total time
60mph = 2/( 1/30 + T2)
60 = 2/( (1 + 30T2)/30)
60 = 2 divided by (1 + 30T2)/30
60 = 2 * (30)/1 + 30T2
60( 1 + 30T2) = 60
1 + 30T2 = 1
30T2 = 0
T2 = 0
This means that he cannot achieve his goal again as he had taken the time meant for the whole race in a single lap.
