At 9 a.m., Sean left Hotel S in his car and travelled towards Hotel T at 90 km/h. At the same time, Tim left Hotel S in his car and travelled in the opposite direction towards Hotel U. When Tim reached Hotel U at 11.30 a.m., Sean was 15 km away from Hotel T.
- What was the distance from Hotel S to Hotel T?
- If the distance between Hotel T and Hotel U was 440 km, what was Tim's speed?
(a)
From 9 a.m. to 11.30. 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 S to Hotel T
= 90 x 2
12 + 15
= 90 x
52 + 15
= 225 + 15
= 240 km
(b)
Distance travelled by Tim
= 440 - 240
= 200 km
Tim's speed
= 200 ÷ 2
12 = 200 ÷
52 = 200 x
25 = 80 km/h
Answer(s): (a) 240 km; (b) 80 km/h