At 9 a.m., Simon left Hotel W in his car and travelled towards Hotel X at 82 km/h. At the same time, David left Hotel W in his car and travelled in the opposite direction towards Hotel Y. When David reached Hotel Y at 11.30 a.m., Simon was 15 km away from Hotel X.
- What was the distance from Hotel W to Hotel X?
- If the distance between Hotel X and Hotel Y was 380 km, what was David'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 W to Hotel X
= 82 x 2
12 + 15
= 82 x
52 + 15
= 205 + 15
= 220 km
(b)
Distance travelled by David
= 380 - 220
= 160 km
David's speed
= 160 ÷ 2
12 = 160 ÷
52 = 160 x
25 = 64 km/h
Answer(s): (a) 220 km; (b) 64 km/h