GIVEN: Two cyclists A and B are 90 km apart. If they start moving in the same direction they will meet after 6 hours. If they start moving towards each other, they will meet after 3 hours. CONCEPT: Relative speed concept. FORMULA USED: Speed = Distance/Time CALCULATION: Suppose the speed of cyclists A and B are x and y km/hr respectively. So, 90/(x - y) = 6 ⇒ (x - y) = 15 ----(1) And 90/(x + y) = 3 ⇒ (x + y) = 30 ----(2) Solving equations 1 and 2: ⇒ x = 22.5 and y = 7.5 Hence, Speed of slower cyclist = 7.5 km/hr