At 5 a.m., Ben left Hotel J in his car and travelled towards Hotel K at 96 km/h. At the same time, Luke left Hotel J in his car and travelled in the opposite direction towards Hotel L. When Luke reached Hotel L at 7.30 a.m., Ben was 15 km away from Hotel K.
- What was the distance from Hotel J to Hotel K?
- If the distance between Hotel K and Hotel L was 440 km, what was Luke's speed?
(a)
From 5 a.m. to 7.30. 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 J to Hotel K
= 96 x 2
12 + 15
= 96 x
52 + 15
= 240 + 15
= 255 km
(b)
Distance travelled by Luke
= 440 - 255
= 185 km
Luke's speed
= 185 ÷ 2
12 = 185 ÷
52 = 185 x
25 = 74 km/h
Answer(s): (a) 255 km; (b) 74 km/h