At 7 a.m., Bobby left Hotel D in his car and travelled towards Hotel E at 98 km/h. At the same time, Michael left Hotel D in his car and travelled in the opposite direction towards Hotel F. When Michael reached Hotel F at 9.30 a.m., Bobby was 10 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 430 km, what was Michael'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 D to Hotel E
= 98 x 2
12 + 10
= 98 x
52 + 10
= 245 + 10
= 255 km
(b)
Distance travelled by Michael
= 430 - 255
= 175 km
Michael's speed
= 175 ÷ 2
12 = 175 ÷
52 = 175 x
25 = 70 km/h
Answer(s): (a) 255 km; (b) 70 km/h