At 9 a.m., Nick left Hotel P in his car and travelled towards Hotel Q at 92 km/h. At the same time, Asher left Hotel P in his car and travelled in the opposite direction towards Hotel R. When Asher reached Hotel R at 11.15 a.m., Nick was 16 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 430 km, what was Asher's speed?
(a)
From 9 a.m. to 11.15. am = 2 h 15 min
60 min = 1 h
1 min =
160 h
15 min =
1560 =
14 h
2 h 15 min = 2
14 h
Distance from Hotel P to Hotel Q
= 92 x 2
14 + 16
= 92 x
94 + 16
= 207 + 16
= 223 km
(b)
Distance travelled by Asher
= 430 - 223
= 207 km
Asher's speed
= 207 ÷ 2
14 = 207 ÷
94 = 207 x
49 = 92 km/h
Answer(s): (a) 223 km; (b) 92 km/h