At 5 a.m., Valen left Hotel M in his car and travelled towards Hotel N at 70 km/h. At the same time, Japheth left Hotel M in his car and travelled in the opposite direction towards Hotel P. When Japheth reached Hotel P at 7.30 a.m., Valen was 20 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 350 km, what was Japheth'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
= 70 x 2
12 + 20
= 70 x
52 + 20
= 175 + 20
= 195 km
(b)
Distance travelled by Japheth
= 350 - 195
= 155 km
Japheth's speed
= 155 ÷ 2
12 = 155 ÷
52 = 155 x
25 = 62 km/h
Answer(s): (a) 195 km; (b) 62 km/h