At 8 a.m., Vaidev left Hotel L in his car and travelled towards Hotel M at 72 km/h. At the same time, Owen left Hotel L in his car and travelled in the opposite direction towards Hotel N. When Owen reached Hotel N at 10.30 a.m., Vaidev was 15 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 410 km, what was Owen's speed?
(a)
From 8 a.m. to 10.30. 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
= 72 x 2
12 + 15
= 72 x
52 + 15
= 180 + 15
= 195 km
(b)
Distance travelled by Owen
= 410 - 195
= 215 km
Owen's speed
= 215 ÷ 2
12 = 215 ÷
52 = 215 x
25 = 86 km/h
Answer(s): (a) 195 km; (b) 86 km/h