At 7 a.m., Ahmad left Hotel A in his car and travelled towards Hotel B at 72 km/h. At the same time, Oliver left Hotel A in his car and travelled in the opposite direction towards Hotel C. When Oliver reached Hotel C at 10.20 a.m., Ahmad 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 440 km, what was Oliver's speed?
(a)
From 7 a.m. to 10.20. am = 3 h 20 min
60 min = 1 h
1 min =
160 h
20 min =
2060 =
13 h
3 h 20 min = 3
13 h
Distance from Hotel A to Hotel B
= 72 x 3
13 + 10
= 72 x
103 + 10
= 240 + 10
= 250 km
(b)
Distance travelled by Oliver
= 440 - 250
= 190 km
Oliver's speed
= 190 ÷ 3
13 = 190 ÷
103 = 190 x
310 = 57 km/h
Answer(s): (a) 250 km; (b) 57 km/h