At 8 a.m., Andy left Hotel A in his car and travelled towards Hotel B at 75 km/h. At the same time, Warren left Hotel A in his car and travelled in the opposite direction towards Hotel C. When Warren reached Hotel C at 11.20 a.m., Andy was 20 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 Warren's speed?
(a)
From 8 a.m. to 11.20. 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
= 75 x 3
13 + 20
= 75 x
103 + 20
= 250 + 20
= 270 km
(b)
Distance travelled by Warren
= 440 - 270
= 170 km
Warren's speed
= 170 ÷ 3
13 = 170 ÷
103 = 170 x
310 = 51 km/h
Answer(s): (a) 270 km; (b) 51 km/h