At 6 a.m., George left Hotel A in his car and travelled towards Hotel B at 72 km/h. At the same time, Jeremy left Hotel A in his car and travelled in the opposite direction towards Hotel C. When Jeremy reached Hotel C at 8.30 a.m., George was 15 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 390 km, what was Jeremy's speed?
(a)
From 6 a.m. to 8.30. am = 2 h 30 min
60 min = 1 h
1 min =
160 h
30 min =
3060 =
12 h
2 h 30 min = 2
12 h
Distance from Hotel A to Hotel B
= 72 x 2
12 + 15
= 72 x
52 + 15
= 180 + 15
= 195 km
(b)
Distance travelled by Jeremy
= 390 - 195
= 195 km
Jeremy's speed
= 195 ÷ 2
12 = 195 ÷
52 = 195 x
25 = 78 km/h
Answer(s): (a) 195 km; (b) 78 km/h