At 5 a.m., Daniel left Hotel V in his car and travelled towards Hotel W at 70 km/h. At the same time, Ethan left Hotel V in his car and travelled in the opposite direction towards Hotel X. When Ethan reached Hotel X at 7.30 a.m., Daniel was 20 km away from Hotel W.
- What was the distance from Hotel V to Hotel W?
- If the distance between Hotel W and Hotel X was 440 km, what was Ethan'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 V to Hotel W
= 70 x 2
12 + 20
= 70 x
52 + 20
= 175 + 20
= 195 km
(b)
Distance travelled by Ethan
= 440 - 195
= 245 km
Ethan's speed
= 245 ÷ 2
12 = 245 ÷
52 = 245 x
25 = 98 km/h
Answer(s): (a) 195 km; (b) 98 km/h