At 9 a.m., Ian left Hotel E in his car and travelled towards Hotel F at 72 km/h. At the same time, Brandon left Hotel E in his car and travelled in the opposite direction towards Hotel G. When Brandon reached Hotel G at 11.30 a.m., Ian was 10 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 360 km, what was Brandon's speed?
(a)
From 9 a.m. to 11.30. 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
= 72 x 2
12 + 10
= 72 x
52 + 10
= 180 + 10
= 190 km
(b)
Distance travelled by Brandon
= 360 - 190
= 170 km
Brandon's speed
= 170 ÷ 2
12 = 170 ÷
52 = 170 x
25 = 68 km/h
Answer(s): (a) 190 km; (b) 68 km/h