At 7 a.m., Bobby left Hotel E in his car and travelled towards Hotel F at 78 km/h. At the same time, Jeremy left Hotel E in his car and travelled in the opposite direction towards Hotel G. When Jeremy reached Hotel G at 9.40 a.m., Bobby was 12 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 420 km, what was Jeremy's speed?
(a)
From 7 a.m. to 9.40. am = 2 h 40 min
60 min = 1 h
1 min =
160 h
40 min =
4060 =
23 h
2 h 40 min = 2
23 h
Distance from Hotel E to Hotel F
= 78 x 2
23 + 12
= 78 x
83 + 12
= 208 + 12
= 220 km
(b)
Distance travelled by Jeremy
= 420 - 220
= 200 km
Jeremy's speed
= 200 ÷ 2
23 = 200 ÷
83 = 200 x
38 = 75 km/h
Answer(s): (a) 220 km; (b) 75 km/h