At 6 a.m., Valen left Hotel K in his car and travelled towards Hotel L at 87 km/h. At the same time, Jeremy left Hotel K in his car and travelled in the opposite direction towards Hotel M. When Jeremy reached Hotel M at 8.20 a.m., Valen was 17 km away from Hotel L.
- What was the distance from Hotel K to Hotel L?
- If the distance between Hotel L and Hotel M was 430 km, what was Jeremy's speed?
(a)
From 6 a.m. to 8.20. 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 K to Hotel L
= 87 x 2
13 + 17
= 87 x
73 + 17
= 203 + 17
= 220 km
(b)
Distance travelled by Jeremy
= 430 - 220
= 210 km
Jeremy's speed
= 210 ÷ 2
13 = 210 ÷
73 = 210 x
37 = 90 km/h
Answer(s): (a) 220 km; (b) 90 km/h