At 2.30 p.m., Penelope and Rael left Hotel D for Hotel E at average speeds of 69 km/h and 50 km/h respectively. Upon reaching Hotel E, Penelope rested for 10 minutes. She then headed back for Hotel D at an average speed of 69 km/h along the same route. Rael and Penelope met each other on their way at 6 p.m.
- How much more distance had Penelope covered than Rael when they met on their way?
- How far apart were Hotel D and Hotel E? Express your answer in mixed number.
(a)
Duration from 2.30 p.m. to 6 p.m. = 3 h 30 min = 3
12 h
Duration from 2.30 p.m. to 6 p.m. without 10 min rest = 3 h 20 min = 3
13 h
60 min = 1 h
30 min =
3060 =
12 h
20 min =
2060 =
13 h
Distance covered by Penelope
= 69 x 3
13= 69 x
103 = 230 km
Distance covered by Rael
= 50 x 3
13= 50 x
103= 175 km
Distance that Penelope covered more than Rael
= 230 - 175
= 55 km
(b)
Distance between Hotel D and Hotel E
= (230 + 175) ÷ 2
= 405 ÷ 2
= 202
12 km
Answer(s): (a) 55 km; (b) 202
12 km