At 8 a.m., Caden left Hotel G in his car and travelled towards Hotel H at 70 km/h. At the same time, Zane left Hotel G in his car and travelled in the opposite direction towards Hotel J. When Zane reached Hotel J at 10.30 a.m., Caden was 15 km away from Hotel H.
- What was the distance from Hotel G to Hotel H?
- If the distance between Hotel H and Hotel J was 400 km, what was Zane's speed?
(a)
From 8 a.m. to 10.30. 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 G to Hotel H
= 70 x 2
12 + 15
= 70 x
52 + 15
= 175 + 15
= 190 km
(b)
Distance travelled by Zane
= 400 - 190
= 210 km
Zane's speed
= 210 ÷ 2
12 = 210 ÷
52 = 210 x
25 = 84 km/h
Answer(s): (a) 190 km; (b) 84 km/h