State the correct relationship between Quantity I and Quantity II Quantity I. A bus moving at a speed of 54 km/hr. overtakes a truck 120 metres ahead going in the same directions in 30 seconds. The speed of the truck is Quantity II. A bus travels 363 km between two cities. During the first 128 km of the trip, the bus travelled through rough road. The bus travelled 15 km/h slower through rough road than the fine road. If the total time to travel between two cities was 9 h, what is the speed of the bus on fine road?

Quantity I: Bus overtakes truck 120m ahead in 30 seconds. Relative speed = 120/30 = 4 m/s = 14.4 km/h. Bus speed = 54 km/h, so truck speed = 54 - 14.4 = 39.6 km/h. Quantity II: Let fine road speed = v km/h. Rough road speed = v - 15. Time equation: 128/(v-15) + (363-128)/v = 9. 128/(v-15) + 235/v = 9. Solving: 128v + 235(v-15) = 9v(v-15). 128v + 235v - 3525 = 9v² - 135v. 9v² - 498v + 3525 = 0. v = (498 ± √(498² - 4×9×3525))/18 = (498 ± √(248004 - 126900))/18 = (498 ± √121104)/18 = (498 ± 348)/18. v = 47 or v = 47/3 ≈ 15.67 (rejected as <15+buffer). Fine road speed = 47 km/h. Since 47 > 39.6, Quantity II > Quantity I.