At 6 a.m., Archie left Hotel Q in his car and travelled towards Hotel R at 81 km/h. At the same time, Vincent left Hotel Q in his car and travelled in the opposite direction towards Hotel S. When Vincent reached Hotel S at 8.20 a.m., Archie was 13 km away from Hotel R.
- What was the distance from Hotel Q to Hotel R?
- If the distance between Hotel R and Hotel S was 370 km, what was Vincent's speed?
(a)
From 6 a.m. to 8.20. am = 2 h 20 min
60 min = 1 h
1 min =
160 h
20 min =
2060 =
13 h
2 h 20 min = 2
13 h
Distance from Hotel Q to Hotel R
= 81 x 2
13 + 13
= 81 x
73 + 13
= 189 + 13
= 202 km
(b)
Distance travelled by Vincent
= 370 - 202
= 168 km
Vincent's speed
= 168 ÷ 2
13 = 168 ÷
73 = 168 x
37 = 72 km/h
Answer(s): (a) 202 km; (b) 72 km/h