At 1.20 p.m., Emily and Flynn left Hotel N for Hotel P at average speeds of 90 km/h and 60 km/h respectively. Upon reaching Hotel P, Emily rested for 10 minutes. She then headed back for Hotel N at an average speed of 90 km/h along the same route. Flynn and Emily met each other on their way at 5 p.m.
- How much more distance had Emily covered than Flynn when they met on their way?
- How far apart were Hotel N and Hotel P? 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 Emily
= 90 x 3
12= 90 x
72 = 315 km
Distance covered by Flynn
= 60 x 3
12= 60 x
72= 220 km
Distance that Emily covered more than Flynn
= 315 - 220
= 95 km
(b)
Distance between Hotel N and Hotel P
= (315 + 220) ÷ 2
= 535 ÷ 2
= 267
12 km
Answer(s): (a) 95 km; (b) 267
12 km