At 6 a.m., Neave left Hotel P in his car and travelled towards Hotel Q at 72 km/h. At the same time, Vincent left Hotel P in his car and travelled in the opposite direction towards Hotel R. When Vincent reached Hotel R at 8.20 a.m., Neave was 14 km away from Hotel Q.
- What was the distance from Hotel P to Hotel Q?
- If the distance between Hotel Q and Hotel R was 350 km, what was Vincent'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 P to Hotel Q
= 72 x 2
13 + 14
= 72 x
73 + 14
= 168 + 14
= 182 km
(b)
Distance travelled by Vincent
= 350 - 182
= 168 km
Vincent's speed
= 168 ÷ 2
13 = 168 ÷
73 = 168 x
37 = 72 km/h
Answer(s): (a) 182 km; (b) 72 km/h