Masha biked 20 km 20 minutes faster than Dasha biked 20 km. Find the speed of each cyclist if one biked 2 km/h faster than the other.
20 km / (r+2) + 1/3 = 20km/ (r) (1/3 hr = 20 minutes)
20 (r) + 1/3( r)(r+2) = 20 r +40
20 r + 1/3 r^2 + 2/3 r = 20 r + 40
1/3 r^2 + 2/3 r -40 = 0 quadratic formula shows r = 10 r+2 = 12