At 7 a.m., Harry left Hotel D in his car and travelled towards Hotel E at 78 km/h. At the same time, Charlie left Hotel D in his car and travelled in the opposite direction towards Hotel F. When Charlie reached Hotel F at 9.20 a.m., Harry was 17 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 360 km, what was Charlie's speed?
(a)
From 7 a.m. to 9.20. am = 2 h 20 min
60 min = 1 h
1 min =
160 h
20 min =
2060 =
13 h
2 h 20 min = 2
13 h
Distance from Hotel D to Hotel E
= 78 x 2
13 + 17
= 78 x
73 + 17
= 182 + 17
= 199 km
(b)
Distance travelled by Charlie
= 360 - 199
= 161 km
Charlie's speed
= 161 ÷ 2
13 = 161 ÷
73 = 161 x
37 = 69 km/h
Answer(s): (a) 199 km; (b) 69 km/h