At 9 a.m., Fred left Hotel F in his car and travelled towards Hotel G at 78 km/h. At the same time, Archie left Hotel F in his car and travelled in the opposite direction towards Hotel H. When Archie reached Hotel H at 11.20 a.m., Fred was 16 km away from Hotel G.
- What was the distance from Hotel F to Hotel G?
- If the distance between Hotel G and Hotel H was 380 km, what was Archie's speed?
(a)
From 9 a.m. to 11.20. 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 F to Hotel G
= 78 x 2
13 + 16
= 78 x
73 + 16
= 182 + 16
= 198 km
(b)
Distance travelled by Archie
= 380 - 198
= 182 km
Archie's speed
= 182 ÷ 2
13 = 182 ÷
73 = 182 x
37 = 78 km/h
Answer(s): (a) 198 km; (b) 78 km/h