At 7 a.m., Oliver left Hotel N in his car and travelled towards Hotel P at 84 km/h. At the same time, Simon left Hotel N in his car and travelled in the opposite direction towards Hotel Q. When Simon reached Hotel Q at 9.40 a.m., Oliver was 14 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 390 km, what was Simon's speed?
(a)
From 7 a.m. to 9.40. am = 2 h 40 min
60 min = 1 h
1 min =
160 h
40 min =
4060 =
23 h
2 h 40 min = 2
23 h
Distance from Hotel N to Hotel P
= 84 x 2
23 + 14
= 84 x
83 + 14
= 224 + 14
= 238 km
(b)
Distance travelled by Simon
= 390 - 238
= 152 km
Simon's speed
= 152 ÷ 2
23 = 152 ÷
83 = 152 x
38 = 57 km/h
Answer(s): (a) 238 km; (b) 57 km/h