At 8 a.m., Sam left Hotel E in his car and travelled towards Hotel F at 84 km/h. At the same time, Tim left Hotel E in his car and travelled in the opposite direction towards Hotel G. When Tim reached Hotel G at 10.20 a.m., Sam was 13 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 370 km, what was Tim's speed?
(a)
From 8 a.m. to 10.20. 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 E to Hotel F
= 84 x 2
13 + 13
= 84 x
73 + 13
= 196 + 13
= 209 km
(b)
Distance travelled by Tim
= 370 - 209
= 161 km
Tim's speed
= 161 ÷ 2
13 = 161 ÷
73 = 161 x
37 = 69 km/h
Answer(s): (a) 209 km; (b) 69 km/h