At 5.40 p.m., Yen and Ian left Hotel V for Hotel W at average speeds of 90 km/h and 69 km/h respectively. Upon reaching Hotel W, Yen rested for 10 minutes. She then headed back for Hotel V at an average speed of 90 km/h along the same route. Ian and Yen met each other on their way at 9 p.m.
- How much more distance had Yen covered than Ian when they met on their way?
- How far apart were Hotel V and Hotel W? Express your answer in mixed number.
(a)
Duration from 5.40 p.m. to 9 p.m. = 3 h 20 min = 3
13 h
Duration from 5.40 p.m. to 9 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 Yen
= 90 x 3
16= 90 x
196 = 285 km
Distance covered by Ian
= 69 x 3
16= 69 x
196= 230 km
Distance that Yen covered more than Ian
= 285 - 230
= 55 km
(b)
Distance between Hotel V and Hotel W
= (285 + 230) ÷ 2
= 515 ÷ 2
= 257
12 km
Answer(s): (a) 55 km; (b) 257
12 km