At 6 a.m., Paul left Hotel H in his car and travelled towards Hotel J at 72 km/h. At the same time, Flynn left Hotel H in his car and travelled in the opposite direction towards Hotel K. When Flynn reached Hotel K at 8.30 a.m., Paul was 10 km away from Hotel J.
- What was the distance from Hotel H to Hotel J?
- If the distance between Hotel J and Hotel K was 390 km, what was Flynn'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 H to Hotel J
= 72 x 2
12 + 10
= 72 x
52 + 10
= 180 + 10
= 190 km
(b)
Distance travelled by Flynn
= 390 - 190
= 200 km
Flynn's speed
= 200 ÷ 2
12 = 200 ÷
52 = 200 x
25 = 80 km/h
Answer(s): (a) 190 km; (b) 80 km/h