At 7 a.m., Simon left Hotel F in his car and travelled towards Hotel G at 96 km/h. At the same time, Oliver left Hotel F in his car and travelled in the opposite direction towards Hotel H. When Oliver reached Hotel H at 9.15 a.m., Simon was 15 km away from Hotel G.
- What was the distance from Hotel F to Hotel G?
- If the distance between Hotel G and Hotel H was 420 km, what was Oliver's speed?
(a)
From 7 a.m. to 9.15. 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 F to Hotel G
= 96 x 2
14 + 15
= 96 x
94 + 15
= 216 + 15
= 231 km
(b)
Distance travelled by Oliver
= 420 - 231
= 189 km
Oliver's speed
= 189 ÷ 2
14 = 189 ÷
94 = 189 x
49 = 84 km/h
Answer(s): (a) 231 km; (b) 84 km/h