Ranjit is journeying by foot and on horseback to a remote place. She can travel 3 miles in an hour on foot or 7 miles in an hour on horseback. After 10 hours, she has traveled 46 miles. How many hours has she traveled on foot and on horse?

Question

espex · Answer

Setting this up only seems to make sense like this. 
OnFoot (F) = 3
OnHorse (H) = 7
10(F+H)=46

Plug in your values one at a time and solve for the other variable.