At 5 a.m., Japheth left Hotel V in his car and travelled towards Hotel W at 84 km/h. At the same time, Ian left Hotel V in his car and travelled in the opposite direction towards Hotel X. When Ian reached Hotel X at 7.15 a.m., Japheth was 12 km away from Hotel W.
- What was the distance from Hotel V to Hotel W?
- If the distance between Hotel W and Hotel X was 390 km, what was Ian's speed?
(a)
From 5 a.m. to 7.15. 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 V to Hotel W
= 84 x 2
14 + 12
= 84 x
94 + 12
= 189 + 12
= 201 km
(b)
Distance travelled by Ian
= 390 - 201
= 189 km
Ian's speed
= 189 ÷ 2
14 = 189 ÷
94 = 189 x
49 = 84 km/h
Answer(s): (a) 201 km; (b) 84 km/h