At 6 a.m., Wesley left Hotel D in his car and travelled towards Hotel E at 74 km/h. At the same time, Ben left Hotel D in his car and travelled in the opposite direction towards Hotel F. When Ben reached Hotel F at 8.30 a.m., Wesley was 15 km away from Hotel E.
- What was the distance from Hotel D to Hotel E?
- If the distance between Hotel E and Hotel F was 450 km, what was Ben's speed?
(a)
From 6 a.m. to 8.30. 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 D to Hotel E
= 74 x 2
12 + 15
= 74 x
52 + 15
= 185 + 15
= 200 km
(b)
Distance travelled by Ben
= 450 - 200
= 250 km
Ben's speed
= 250 ÷ 2
12 = 250 ÷
52 = 250 x
25 = 100 km/h
Answer(s): (a) 200 km; (b) 100 km/h