At 9 a.m., Caden left Hotel X in his car and travelled towards Hotel Y at 92 km/h. At the same time, Charlie left Hotel X in his car and travelled in the opposite direction towards Hotel Z. When Charlie reached Hotel Z at 11.30 a.m., Caden was 20 km away from Hotel Y.
- What was the distance from Hotel X to Hotel Y?
- If the distance between Hotel Y and Hotel Z was 450 km, what was Charlie's speed?
(a)
From 9 a.m. to 11.30. 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 X to Hotel Y
= 92 x 2
12 + 20
= 92 x
52 + 20
= 230 + 20
= 250 km
(b)
Distance travelled by Charlie
= 450 - 250
= 200 km
Charlie's speed
= 200 ÷ 2
12 = 200 ÷
52 = 200 x
25 = 80 km/h
Answer(s): (a) 250 km; (b) 80 km/h