At 9 a.m., Will left Hotel B in his car and travelled towards Hotel C at 84 km/h. At the same time, Harry left Hotel B in his car and travelled in the opposite direction towards Hotel D. When Harry reached Hotel D at 11.15 a.m., Will was 19 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 370 km, what was Harry's speed?
(a)
From 9 a.m. to 11.15. am = 2 h 15 min
60 min = 1 h
1 min =
160 h
15 min =
1560 =
14 h
2 h 15 min = 2
14 h
Distance from Hotel B to Hotel C
= 84 x 2
14 + 19
= 84 x
94 + 19
= 189 + 19
= 208 km
(b)
Distance travelled by Harry
= 370 - 208
= 162 km
Harry's speed
= 162 ÷ 2
14 = 162 ÷
94 = 162 x
49 = 72 km/h
Answer(s): (a) 208 km; (b) 72 km/h