At 8 a.m., Ivan left Hotel T in his car and travelled towards Hotel U at 78 km/h. At the same time, Owen left Hotel T in his car and travelled in the opposite direction towards Hotel V. When Owen reached Hotel V at 10.30 a.m., Ivan was 20 km away from Hotel U.
- What was the distance from Hotel T to Hotel U?
- If the distance between Hotel U and Hotel V was 440 km, what was Owen's speed?
(a)
From 8 a.m. to 10.30. 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 T to Hotel U
= 78 x 2
12 + 20
= 78 x
52 + 20
= 195 + 20
= 215 km
(b)
Distance travelled by Owen
= 440 - 215
= 225 km
Owen's speed
= 225 ÷ 2
12 = 225 ÷
52 = 225 x
25 = 90 km/h
Answer(s): (a) 215 km; (b) 90 km/h