At 9 a.m., Wesley left Hotel L in his car and travelled towards Hotel M at 75 km/h. At the same time, Gabriel left Hotel L in his car and travelled in the opposite direction towards Hotel N. When Gabriel reached Hotel N at 11.20 a.m., Wesley was 11 km away from Hotel M.
- What was the distance from Hotel L to Hotel M?
- If the distance between Hotel M and Hotel N was 340 km, what was Gabriel'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 L to Hotel M
= 75 x 2
13 + 11
= 75 x
73 + 11
= 175 + 11
= 186 km
(b)
Distance travelled by Gabriel
= 340 - 186
= 154 km
Gabriel's speed
= 154 ÷ 2
13 = 154 ÷
73 = 154 x
37 = 66 km/h
Answer(s): (a) 186 km; (b) 66 km/h