At 5 a.m., Tim left Hotel M in his car and travelled towards Hotel N at 78 km/h. At the same time, Sam left Hotel M in his car and travelled in the opposite direction towards Hotel P. When Sam reached Hotel P at 7.30 a.m., Tim 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 400 km, what was Sam's speed?
(a)
From 5 a.m. to 7.30. 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
= 78 x 2
12 + 15
= 78 x
52 + 15
= 195 + 15
= 210 km
(b)
Distance travelled by Sam
= 400 - 210
= 190 km
Sam's speed
= 190 ÷ 2
12 = 190 ÷
52 = 190 x
25 = 76 km/h
Answer(s): (a) 210 km; (b) 76 km/h