At 8 a.m., Glen left Hotel Y in his car and travelled towards Hotel Z at 75 km/h. At the same time, Tommy left Hotel Y in his car and travelled in the opposite direction towards Hotel A. When Tommy reached Hotel A at 10.20 a.m., Glen was 10 km away from Hotel Z.
- What was the distance from Hotel Y to Hotel Z?
- If the distance between Hotel Z and Hotel A was 430 km, what was Tommy's speed?
(a)
From 8 a.m. to 10.20. am = 2 h 20 min
60 min = 1 h
1 min =
160 h
20 min =
2060 =
13 h
2 h 20 min = 2
13 h
Distance from Hotel Y to Hotel Z
= 75 x 2
13 + 10
= 75 x
73 + 10
= 175 + 10
= 185 km
(b)
Distance travelled by Tommy
= 430 - 185
= 245 km
Tommy's speed
= 245 ÷ 2
13 = 245 ÷
73 = 245 x
37 = 105 km/h
Answer(s): (a) 185 km; (b) 105 km/h