At 5 a.m., Tommy left Hotel S in his car and travelled towards Hotel T at 80 km/h. At the same time, Glen left Hotel S in his car and travelled in the opposite direction towards Hotel U. When Glen reached Hotel U at 7.15 a.m., Tommy was 18 km away from Hotel T.
- What was the distance from Hotel S to Hotel T?
- If the distance between Hotel T and Hotel U was 360 km, what was Glen's speed?
(a)
From 5 a.m. to 7.15. am = 2 h 15 min
60 min = 1 h
1 min =
160 h
15 min =
1560 =
14 h
2 h 15 min = 2
14 h
Distance from Hotel S to Hotel T
= 80 x 2
14 + 18
= 80 x
94 + 18
= 180 + 18
= 198 km
(b)
Distance travelled by Glen
= 360 - 198
= 162 km
Glen's speed
= 162 ÷ 2
14 = 162 ÷
94 = 162 x
49 = 72 km/h
Answer(s): (a) 198 km; (b) 72 km/h