Question

Hector is competing in a 42 mile bicycle race. He has already completed 18 miles of the race and is traveling at a constant speed of 12 miles per hour when Wanda starts the race. Wanda is traveling at a constant speed of 16 miles per hour. Write and solve an equation to find when Wanda will catch up to Hector. Will Wanda catch up to Hector before the race is complete? Explain. At what constant speed would Wanda travel to catch up with Hector at the finish line? Explain.

Answer 1

Wanda reaches hector at 4.5h. Wanda can not reach hector before the race ends, since at the speed he is going (16m / h) he would reach when both are at mile 72 and the race is 42 miles.
Wanda needs to increase her speed to 21m / h to catch Hector at the finish line.I attach the answers.