Thread: Basic word problem, distance per second

Emile's walking rate= 2.5 m/second
Henri=1 m/second

Henry challenges Emile to a walking race. Because Emile can walk faster, Emile gives Henri a 45-m head start. Emile knows his brother would enjoy winning the race, but he does not want to make the race so short that it is obvious his brother will win.

1. How long should the race be so that Henri will win in a close race?
2. Describe your strategy in answering, give evidence.

Hint: Emile will catch up: d = (d + 45) / 2.5