At 8 a.m., Ahmad left Hotel S in his car and travelled towards Hotel T at 88 km/h. At the same time, Jeremy left Hotel S in his car and travelled in the opposite direction towards Hotel U. When Jeremy reached Hotel U at 10.30 a.m., Ahmad was 10 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 380 km, what was Jeremy'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 S to Hotel T
= 88 x 2
12 + 10
= 88 x
52 + 10
= 220 + 10
= 230 km
(b)
Distance travelled by Jeremy
= 380 - 230
= 150 km
Jeremy's speed
= 150 ÷ 2
12 = 150 ÷
52 = 150 x
25 = 60 km/h
Answer(s): (a) 230 km; (b) 60 km/h