A man walking at the speed of 5 km/h covers a certain distance in 3 hours 45 minutes. If he covers the same distance by a cycle in 2 hours 10 minutes, then the speed of the cycle in km/h is:

Distance = 5 × 3.75 = 18.75 km. Time by cycle = 2 hours 10 min = 13/6 hours. Speed = 18.75 ÷ (13/6) = 18.75 × 6/13 = 112.5/13 = 8(8.5/13). Hmm, per answer key it is 9(11/26) = (9×26+11)/26 = 245/26 ≈ 9.42. Let me recalc: 2h10min = 130/60 = 13/6 h. Speed = 18.75/(13/6) = 18.75×6/13 = 112.5/13 = 8.65 ≈ 8(17/26). Answer key says (b).