At 7 a.m., Elijah left Hotel E in his car and travelled towards Hotel F at 82 km/h. At the same time, Japheth left Hotel E in his car and travelled in the opposite direction towards Hotel G. When Japheth reached Hotel G at 9.30 a.m., Elijah was 15 km away from Hotel F.
- What was the distance from Hotel E to Hotel F?
- If the distance between Hotel F and Hotel G was 420 km, what was Japheth's speed?
(a)
From 7 a.m. to 9.30. 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 E to Hotel F
= 82 x 2
12 + 15
= 82 x
52 + 15
= 205 + 15
= 220 km
(b)
Distance travelled by Japheth
= 420 - 220
= 200 km
Japheth's speed
= 200 ÷ 2
12 = 200 ÷
52 = 200 x
25 = 80 km/h
Answer(s): (a) 220 km; (b) 80 km/h