May rides her bike at the same distance that leah walks.May rides her bike 10 km/h FASTER than leah walks.If it takes May 1 hour and Leah 3 hours to travel that distance how fast does each travel?

Question

ranga · Answer

Let Mary walk at x km/h.
Then Leah rides at (x + 10) km/h

In 1 hour Leah would have ridden her bike (x+10) * 1 = x+10  km
In 3 hours Mary would have walked x * 3 = 3x  km.

They travel the same distance.  Therefore, 3x = x + 10
solve for x.  That is the speed of Mary's walking.
Then put the x value in (x+10) to calculate Leah's speed.