At 8 a.m., Ken left Hotel A in his car and travelled towards Hotel B at 78 km/h. At the same time, Simon left Hotel A in his car and travelled in the opposite direction towards Hotel C. When Simon reached Hotel C at 10.50 a.m., Ken was 12 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 420 km, what was Simon's speed?
(a)
From 8 a.m. to 10.50. am = 2 h 50 min
60 min = 1 h
1 min =
160 h
50 min =
5060 =
56 h
2 h 50 min = 2
56 h
Distance from Hotel A to Hotel B
= 78 x 2
56 + 12
= 78 x
176 + 12
= 221 + 12
= 233 km
(b)
Distance travelled by Simon
= 420 - 233
= 187 km
Simon's speed
= 187 ÷ 2
56 = 187 ÷
176 = 187 x
617 = 66 km/h
Answer(s): (a) 233 km; (b) 66 km/h