Ernest has run many marathons and keeps track of all of his finishing times. At his most recent race, he finished in 413 minutes. That is 18% longer than his previous race. What was Ernest's finishing time at the previous race?

Solution

E r n es t ha s r u n man y ma r a t h o n s an d k ee p s t r a c k o f a ll o f hi s f ini s hin g t im es . A t hi s m os t rece n t r a ce, h e f ini s h e d in 413 min u t es . T ha t i s 18% l o n g er t han hi s p re v i o u s r a ce . Wha t w a s E r n es t^{'} s f ini s hin g t im e a t t h e p re v i o u s r a ce ?

Amount before addition : 350

Solution steps

Translate the problem into an equation:

413 = x + 0.18 x

413 = x + 0.18 x : x = 350

Amount before addition : 350