At 7 a.m., Ethan left Hotel L in his car and travelled towards Hotel M at 98 km/h. At the same time, Peter left Hotel L in his car and travelled in the opposite direction towards Hotel N. When Peter reached Hotel N at 9.30 a.m., Ethan was 20 km away from Hotel M.
- What was the distance from Hotel L to Hotel M?
- If the distance between Hotel M and Hotel N was 450 km, what was Peter's speed?
(a)
From 7 a.m. to 9.30. am = 2 h 30 min
60 min = 1 h
1 min =
160 h
30 min =
3060 =
12 h
2 h 30 min = 2
12 h
Distance from Hotel L to Hotel M
= 98 x 2
12 + 20
= 98 x
52 + 20
= 245 + 20
= 265 km
(b)
Distance travelled by Peter
= 450 - 265
= 185 km
Peter's speed
= 185 ÷ 2
12 = 185 ÷
52 = 185 x
25 = 74 km/h
Answer(s): (a) 265 km; (b) 74 km/h