At 5 a.m., Zane left Hotel W in his car and travelled towards Hotel X at 75 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 7.40 a.m., Zane was 10 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 450 km, what was David's speed?
(a)
From 5 a.m. to 7.40. am = 2 h 40 min
60 min = 1 h
1 min =
160 h
40 min =
4060 =
23 h
2 h 40 min = 2
23 h
Distance from Hotel W to Hotel X
= 75 x 2
23 + 10
= 75 x
83 + 10
= 200 + 10
= 210 km
(b)
Distance travelled by David
= 450 - 210
= 240 km
David's speed
= 240 ÷ 2
23 = 240 ÷
83 = 240 x
38 = 90 km/h
Answer(s): (a) 210 km; (b) 90 km/h