At 8 a.m., John left Hotel E in his car and travelled towards Hotel F at 72 km/h. At the same time, Lee left Hotel E in his car and travelled in the opposite direction towards Hotel G. When Lee reached Hotel G at 11.30 a.m., John was 20 km away from Hotel F.
- What was the distance from Hotel E to Hotel F?
- If the distance between Hotel F and Hotel G was 440 km, what was Lee's speed?
(a)
From 8 a.m. to 11.30. am = 3 h 30 min
60 min = 1 h
1 min =
160 h
30 min =
3060 =
12 h
3 h 30 min = 3
12 h
Distance from Hotel E to Hotel F
= 72 x 3
12 + 20
= 72 x
72 + 20
= 252 + 20
= 272 km
(b)
Distance travelled by Lee
= 440 - 272
= 168 km
Lee's speed
= 168 ÷ 3
12 = 168 ÷
72 = 168 x
27 = 48 km/h
Answer(s): (a) 272 km; (b) 48 km/h