At 7 a.m., Tom left Hotel R in his car and travelled towards Hotel S at 100 km/h. At the same time, Zane left Hotel R in his car and travelled in the opposite direction towards Hotel T. When Zane reached Hotel T at 9.15 a.m., Tom was 17 km away from Hotel S.
- What was the distance from Hotel R to Hotel S?
- If the distance between Hotel S and Hotel T was 440 km, what was Zane's speed?
(a)
From 7 a.m. to 9.15. am = 2 h 15 min
60 min = 1 h
1 min =
160 h
15 min =
1560 =
14 h
2 h 15 min = 2
14 h
Distance from Hotel R to Hotel S
= 100 x 2
14 + 17
= 100 x
94 + 17
= 225 + 17
= 242 km
(b)
Distance travelled by Zane
= 440 - 242
= 198 km
Zane's speed
= 198 ÷ 2
14 = 198 ÷
94 = 198 x
49 = 88 km/h
Answer(s): (a) 242 km; (b) 88 km/h