At 9 a.m., Liam left Hotel C in his car and travelled towards Hotel D at 70 km/h. At the same time, Ken left Hotel C in his car and travelled in the opposite direction towards Hotel E. When Ken reached Hotel E at 11.30 a.m., Liam was 15 km away from Hotel D.
- What was the distance from Hotel C to Hotel D?
- If the distance between Hotel D and Hotel E was 450 km, what was Ken's speed?
(a)
From 9 a.m. to 11.30. 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 C to Hotel D
= 70 x 2
12 + 15
= 70 x
52 + 15
= 175 + 15
= 190 km
(b)
Distance travelled by Ken
= 450 - 190
= 260 km
Ken's speed
= 260 ÷ 2
12 = 260 ÷
52 = 260 x
25 = 104 km/h
Answer(s): (a) 190 km; (b) 104 km/h