At 4.40 p.m., Winnie and Brandon left Hotel D for Hotel E at average speeds of 90 km/h and 72 km/h respectively. Upon reaching Hotel E, Winnie rested for 10 minutes. She then headed back for Hotel D at an average speed of 90 km/h along the same route. Brandon and Winnie met each other on their way at 8 p.m.
- How much more distance had Winnie covered than Brandon when they met on their way?
- How far apart were Hotel D and Hotel E? Express your answer in mixed number.
(a)
Duration from 4.40 p.m. to 8 p.m. = 3 h 20 min = 3
13 h
Duration from 4.40 p.m. to 8 p.m. without 10 min rest = 3 h 10 min = 3
16 h
60 min = 1 h
20 min =
2060 =
13 h
10 min =
1060 =
16 h
Distance covered by Winnie
= 90 x 3
16= 90 x
196 = 285 km
Distance covered by Brandon
= 72 x 3
16= 72 x
196= 240 km
Distance that Winnie covered more than Brandon
= 285 - 240
= 45 km
(b)
Distance between Hotel D and Hotel E
= (285 + 240) ÷ 2
= 525 ÷ 2
= 262
12 km
Answer(s): (a) 45 km; (b) 262
12 km