During the first 20 mile of a 50 mile bicycle race rogers average speed was 16mi/h. What must his average speed be during the remainder of the race if he is to finish the race in less than 2.5 h

Answer:His average speed has to be greater than 24 miles per hour to finish the race in less than 2.5 hStep-by-step explanation:Step 1Determine the expression for calculating the speed, distance and time as follows;D=S×Twhere;D=distance covered in milesS=speed in miles per hourT=time in hoursStep 2Using the expression above, determine the time taken to travel 20 miles as shown;Rearranging the expression;T=D/Swhere;D=20 milesS=16 miles/hourreplacing;T=(20/16)=1.25 hoursStep 3The expression for the remaining time you need to take to finish the rate in less than 2.5 hremaining time=(2.5 h-1.25 h)=1.25 hThe remaining time has to be less than 1.25 hStep 4Determine the expression for calculating the remaining distance to be covered as follows;Remaining distance=Total distance-distance traveledwhere;Total distance=50 milesdistance traveled=20 milesreplacing;Remaining distance=(50-20)=30 milesStep 3 Rogers average speed has to be expressed as shown to finish in less than 2.5 hAverage speed>remaining distance/remaining timewhere;remaining distance=30 milesremaining tile=1.25 hreplacing;Average speed>(30/1.25)=24 miles per hourHis average speed has to be greater than 24 miles per hour to finish the race in less than 2.5 h