At 6 a.m., Reggie left Hotel A in his car and travelled towards Hotel B at 72 km/h. At the same time, Ian left Hotel A in his car and travelled in the opposite direction towards Hotel C. When Ian reached Hotel C at 9.30 a.m., Reggie was 10 km away from Hotel B.
- What was the distance from Hotel A to Hotel B?
- If the distance between Hotel B and Hotel C was 430 km, what was Ian's speed?
(a)
From 6 a.m. to 9.30. am = 3 h 30 min
60 min = 1 h
1 min =
160 h
30 min =
3060 =
12 h
3 h 30 min = 3
12 h
Distance from Hotel A to Hotel B
= 72 x 3
12 + 10
= 72 x
72 + 10
= 252 + 10
= 262 km
(b)
Distance travelled by Ian
= 430 - 262
= 168 km
Ian's speed
= 168 ÷ 3
12 = 168 ÷
72 = 168 x
27 = 48 km/h
Answer(s): (a) 262 km; (b) 48 km/h