At 6 a.m., Michael left Hotel G in his car and travelled towards Hotel H at 78 km/h. At the same time, Tommy left Hotel G in his car and travelled in the opposite direction towards Hotel J. When Tommy reached Hotel J at 8.30 a.m., Michael was 15 km away from Hotel H.
- What was the distance from Hotel G to Hotel H?
- If the distance between Hotel H and Hotel J was 360 km, what was Tommy's speed?
(a)
From 6 a.m. to 8.30. 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 G to Hotel H
= 78 x 2
12 + 15
= 78 x
52 + 15
= 195 + 15
= 210 km
(b)
Distance travelled by Tommy
= 360 - 210
= 150 km
Tommy's speed
= 150 ÷ 2
12 = 150 ÷
52 = 150 x
25 = 60 km/h
Answer(s): (a) 210 km; (b) 60 km/h