At 8 a.m., David left Hotel M in his car and travelled towards Hotel N at 76 km/h. At the same time, Luis left Hotel M in his car and travelled in the opposite direction towards Hotel P. When Luis reached Hotel P at 10.30 a.m., David was 15 km away from Hotel N.
- What was the distance from Hotel M to Hotel N?
- If the distance between Hotel N and Hotel P was 370 km, what was Luis's speed?
(a)
From 8 a.m. to 10.30. am = 2 h 30 min
60 min = 1 h
1 min =
160 h
30 min =
3060 =
12 h
2 h 30 min = 2
12 h
Distance from Hotel M to Hotel N
= 76 x 2
12 + 15
= 76 x
52 + 15
= 190 + 15
= 205 km
(b)
Distance travelled by Luis
= 370 - 205
= 165 km
Luis's speed
= 165 ÷ 2
12 = 165 ÷
52 = 165 x
25 = 66 km/h
Answer(s): (a) 205 km; (b) 66 km/h