At 9 a.m., George left Hotel K in his car and travelled towards Hotel L at 70 km/h. At the same time, Peter left Hotel K in his car and travelled in the opposite direction towards Hotel M. When Peter reached Hotel M at 11.30 a.m., George 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 420 km, what was Peter's speed?
(a)
From 9 a.m. to 11.30. 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
= 70 x 2
12 + 20
= 70 x
52 + 20
= 175 + 20
= 195 km
(b)
Distance travelled by Peter
= 420 - 195
= 225 km
Peter's speed
= 225 ÷ 2
12 = 225 ÷
52 = 225 x
25 = 90 km/h
Answer(s): (a) 195 km; (b) 90 km/h