At 8 a.m., Jack left Hotel G in his car and travelled towards Hotel H at 92 km/h. At the same time, Owen left Hotel G in his car and travelled in the opposite direction towards Hotel J. When Owen reached Hotel J at 10.30 a.m., Jack was 10 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 430 km, what was Owen'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
= 92 x 2
12 + 10
= 92 x
52 + 10
= 230 + 10
= 240 km
(b)
Distance travelled by Owen
= 430 - 240
= 190 km
Owen's speed
= 190 ÷ 2
12 = 190 ÷
52 = 190 x
25 = 76 km/h
Answer(s): (a) 240 km; (b) 76 km/h