At 6 a.m., George left Hotel Q in his car and travelled towards Hotel R at 99 km/h. At the same time, Sam left Hotel Q in his car and travelled in the opposite direction towards Hotel S. When Sam reached Hotel S at 8.20 a.m., George was 20 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 440 km, what was Sam'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
= 99 x 2
13 + 20
= 99 x
73 + 20
= 231 + 20
= 251 km
(b)
Distance travelled by Sam
= 440 - 251
= 189 km
Sam's speed
= 189 ÷ 2
13 = 189 ÷
73 = 189 x
37 = 81 km/h
Answer(s): (a) 251 km; (b) 81 km/h