At 6 a.m., Tom left Hotel B in his car and travelled towards Hotel C at 82 km/h. At the same time, Howard left Hotel B in his car and travelled in the opposite direction towards Hotel D. When Howard reached Hotel D at 8.30 a.m., Tom was 15 km away from Hotel C.
- What was the distance from Hotel B to Hotel C?
- If the distance between Hotel C and Hotel D was 440 km, what was Howard'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 B to Hotel C
= 82 x 2
12 + 15
= 82 x
52 + 15
= 205 + 15
= 220 km
(b)
Distance travelled by Howard
= 440 - 220
= 220 km
Howard's speed
= 220 ÷ 2
12 = 220 ÷
52 = 220 x
25 = 88 km/h
Answer(s): (a) 220 km; (b) 88 km/h