At 5 a.m., Tom left Hotel J in his car and travelled towards Hotel K at 86 km/h. At the same time, Ryan left Hotel J in his car and travelled in the opposite direction towards Hotel L. When Ryan reached Hotel L at 7.30 a.m., Tom was 15 km away from Hotel K.
- What was the distance from Hotel J to Hotel K?
- If the distance between Hotel K and Hotel L was 450 km, what was Ryan'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 J to Hotel K
= 86 x 2
12 + 15
= 86 x
52 + 15
= 215 + 15
= 230 km
(b)
Distance travelled by Ryan
= 450 - 230
= 220 km
Ryan's speed
= 220 ÷ 2
12 = 220 ÷
52 = 220 x
25 = 88 km/h
Answer(s): (a) 230 km; (b) 88 km/h