At 8 a.m., Riordan left Hotel G in his car and travelled towards Hotel H at 88 km/h. At the same time, Mark left Hotel G in his car and travelled in the opposite direction towards Hotel J. When Mark reached Hotel J at 10.30 a.m., Riordan was 20 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 420 km, what was Mark'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 G to Hotel H
= 88 x 2
12 + 20
= 88 x
52 + 20
= 220 + 20
= 240 km
(b)
Distance travelled by Mark
= 420 - 240
= 180 km
Mark's speed
= 180 ÷ 2
12 = 180 ÷
52 = 180 x
25 = 72 km/h
Answer(s): (a) 240 km; (b) 72 km/h