At 5 a.m., Justin left Hotel K in his car and travelled towards Hotel L at 100 km/h. At the same time, Fred left Hotel K in his car and travelled in the opposite direction towards Hotel M. When Fred reached Hotel M at 7.30 a.m., Justin was 20 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 450 km, what was Fred'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 K to Hotel L
= 100 x 2
12 + 20
= 100 x
52 + 20
= 250 + 20
= 270 km
(b)
Distance travelled by Fred
= 450 - 270
= 180 km
Fred's speed
= 180 ÷ 2
12 = 180 ÷
52 = 180 x
25 = 72 km/h
Answer(s): (a) 270 km; (b) 72 km/h