At 1.20 p.m., Nora and Valen left Hotel D for Hotel E at average speeds of 98 km/h and 66 km/h respectively. Upon reaching Hotel E, Nora rested for 10 minutes. She then headed back for Hotel D at an average speed of 98 km/h along the same route. Valen and Nora met each other on their way at 5 p.m.
- How much more distance had Nora covered than Valen when they met on their way?
- How far apart were Hotel D and Hotel E? Express your answer in mixed number.
(a)
Duration from 1.20 p.m. to 5 p.m. = 3 h 40 min = 3
23 h
Duration from 1.20 p.m. to 5 p.m. without 10 min rest = 3 h 30 min = 3
12 h
60 min = 1 h
40 min =
4060 =
23 h
30 min =
3060 =
12 h
Distance covered by Nora
= 98 x 3
12= 98 x
72 = 343 km
Distance covered by Valen
= 66 x 3
12= 66 x
72= 242 km
Distance that Nora covered more than Valen
= 343 - 242
= 101 km
(b)
Distance between Hotel D and Hotel E
= (343 + 242) ÷ 2
= 585 ÷ 2
= 292
12 km
Answer(s): (a) 101 km; (b) 292
12 km