At 8 a.m., Oliver left Hotel W in his car and travelled towards Hotel X at 78 km/h. At the same time, Asher left Hotel W in his car and travelled in the opposite direction towards Hotel Y. When Asher reached Hotel Y at 10.30 a.m., Oliver was 20 km away from Hotel X.
- What was the distance from Hotel W to Hotel X?
- If the distance between Hotel X and Hotel Y was 400 km, what was Asher'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 W to Hotel X
= 78 x 2
12 + 20
= 78 x
52 + 20
= 195 + 20
= 215 km
(b)
Distance travelled by Asher
= 400 - 215
= 185 km
Asher's speed
= 185 ÷ 2
12 = 185 ÷
52 = 185 x
25 = 74 km/h
Answer(s): (a) 215 km; (b) 74 km/h