At 5 a.m., Archie left Hotel S in his car and travelled towards Hotel T at 74 km/h. At the same time, Ben left Hotel S in his car and travelled in the opposite direction towards Hotel U. When Ben reached Hotel U at 7.30 a.m., Archie was 20 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 Ben's speed?
(a)
From 5 a.m. to 7.30. 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
= 74 x 2
12 + 20
= 74 x
52 + 20
= 185 + 20
= 205 km
(b)
Distance travelled by Ben
= 440 - 205
= 235 km
Ben's speed
= 235 ÷ 2
12 = 235 ÷
52 = 235 x
25 = 94 km/h
Answer(s): (a) 205 km; (b) 94 km/h