At 7 a.m., Archie left Hotel J in his car and travelled towards Hotel K at 92 km/h. At the same time, Charlie left Hotel J in his car and travelled in the opposite direction towards Hotel L. When Charlie reached Hotel L at 9.15 a.m., Archie was 17 km away from Hotel K.
- What was the distance from Hotel J to Hotel K?
- If the distance between Hotel K and Hotel L was 440 km, what was Charlie's speed?
(a)
From 7 a.m. to 9.15. 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 J to Hotel K
= 92 x 2
14 + 17
= 92 x
94 + 17
= 207 + 17
= 224 km
(b)
Distance travelled by Charlie
= 440 - 224
= 216 km
Charlie's speed
= 216 ÷ 2
14 = 216 ÷
94 = 216 x
49 = 96 km/h
Answer(s): (a) 224 km; (b) 96 km/h