At 6 a.m., Ivan left Hotel D in his car and travelled towards Hotel E at 75 km/h. At the same time, George left Hotel D in his car and travelled in the opposite direction towards Hotel F. When George reached Hotel F at 9.20 a.m., Ivan was 20 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 420 km, what was George's speed?
(a)
From 6 a.m. to 9.20. am = 3 h 20 min
60 min = 1 h
1 min =
160 h
20 min =
2060 =
13 h
3 h 20 min = 3
13 h
Distance from Hotel D to Hotel E
= 75 x 3
13 + 20
= 75 x
103 + 20
= 250 + 20
= 270 km
(b)
Distance travelled by George
= 420 - 270
= 150 km
George's speed
= 150 ÷ 3
13 = 150 ÷
103 = 150 x
310 = 45 km/h
Answer(s): (a) 270 km; (b) 45 km/h