At 5 a.m., Mark left Hotel Z in his car and travelled towards Hotel A at 72 km/h. At the same time, George left Hotel Z in his car and travelled in the opposite direction towards Hotel B. When George reached Hotel B at 7.30 a.m., Mark was 15 km away from Hotel A.
- What was the distance from Hotel Z to Hotel A?
- If the distance between Hotel A and Hotel B was 380 km, what was George's speed?
(a)
From 5 a.m. to 7.30. 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 Z to Hotel A
= 72 x 2
12 + 15
= 72 x
52 + 15
= 180 + 15
= 195 km
(b)
Distance travelled by George
= 380 - 195
= 185 km
George's speed
= 185 ÷ 2
12 = 185 ÷
52 = 185 x
25 = 74 km/h
Answer(s): (a) 195 km; (b) 74 km/h