At 8 a.m., Cole left Hotel J in his car and travelled towards Hotel K at 84 km/h. At the same time, Seth left Hotel J in his car and travelled in the opposite direction towards Hotel L. When Seth reached Hotel L at 10.20 a.m., Cole was 13 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 370 km, what was Seth'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 J to Hotel K
= 84 x 2
13 + 13
= 84 x
73 + 13
= 196 + 13
= 209 km
(b)
Distance travelled by Seth
= 370 - 209
= 161 km
Seth's speed
= 161 ÷ 2
13 = 161 ÷
73 = 161 x
37 = 69 km/h
Answer(s): (a) 209 km; (b) 69 km/h