At 4.25 p.m., Winnie and Bobby left Hotel R for Hotel S at average speeds of 84 km/h and 60 km/h respectively. Upon reaching Hotel S, Winnie rested for 15 minutes. She then headed back for Hotel R at an average speed of 84 km/h along the same route. Bobby and Winnie met each other on their way at 8 p.m.

1. How much more distance had Winnie covered than Bobby when they met on their way?
2. How far apart were Hotel R and Hotel S? Express your answer in mixed number.

(a)
Duration from 4.25 p.m. to 8 p.m. = 3 h 35 min = 3⁷₁₂ h
Duration from 4.25 p.m. to 8 p.m. without 15 min rest = 3 h 20 min = 3¹₃ h

60 min = 1 h
35 min = ³⁵₆₀ = ⁷₁₂ h
20 min = ²⁰₆₀ = ¹₃ h


Distance covered by Winnie
= 84 x 3¹₃
= 84 x ¹⁰₃ 
= 280 km

Distance covered by Bobby
= 60 x 3¹₃
= 60 x ¹⁰₃
= 215 km

Distance that Winnie covered more than Bobby
= 280 - 215
= 65 km

(b)
Distance between Hotel R and Hotel S
= (280 + 215) ÷ 2
= 495 ÷ 2
= 247¹₂ km

Answer(s): (a) 65 km; (b) 247¹₂ km