At 5 a.m., Julian left Hotel L in his car and travelled towards Hotel M at 78 km/h. At the same time, Pierre left Hotel L in his car and travelled in the opposite direction towards Hotel N. When Pierre reached Hotel N at 8.20 a.m., Julian was 20 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 430 km, what was Pierre's speed?
(a)
From 5 a.m. to 8.20. am = 3 h 20 min
60 min = 1 h
1 min =
160 h
20 min =
2060 =
13 h
3 h 20 min = 3
13 h
Distance from Hotel L to Hotel M
= 78 x 3
13 + 20
= 78 x
103 + 20
= 260 + 20
= 280 km
(b)
Distance travelled by Pierre
= 430 - 280
= 150 km
Pierre's speed
= 150 ÷ 3
13 = 150 ÷
103 = 150 x
310 = 45 km/h
Answer(s): (a) 280 km; (b) 45 km/h