At 9 a.m., Ian left Hotel N in his car and travelled towards Hotel P at 96 km/h. At the same time, Peter left Hotel N in his car and travelled in the opposite direction towards Hotel Q. When Peter reached Hotel Q at 11.30 a.m., Ian was 15 km away from Hotel P.
- What was the distance from Hotel N to Hotel P?
- If the distance between Hotel P and Hotel Q was 440 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 N to Hotel P
= 96 x 2
12 + 15
= 96 x
52 + 15
= 240 + 15
= 255 km
(b)
Distance travelled by Peter
= 440 - 255
= 185 km
Peter's speed
= 185 ÷ 2
12 = 185 ÷
52 = 185 x
25 = 74 km/h
Answer(s): (a) 255 km; (b) 74 km/h