Rael left City K for City J at 09 42. Min left City K for City C at the same time. At 13 42, they were 640 km apart. Both maintained a constant speed and reached their destination at the same time at 16 30.
- Find the distance between Cities A and C.
- If Min was 79 the speed of Rael, find Rael's speed.
(a)
Time taken for Rael and Min to travel 09 42 to 13 42 = 4 h
Time taken for Rael and Min to travel 09 42 to 16 30 = 6 h 48 min = 6
4860 h = 6
45 h
Distance travelled by Rael and Min in 1 hour
= 640 ÷ 4
= 160 km
Total distance
= 6
45 x 160
= 1088 km
(b)
Min's distance : Rael's distance
7 : 9
Min's speed : Rael's speed
7 : 9
16 u = 160 km
1 u = 160 ÷ 16 = 10 km
Rael's speed
= 9 u
= 9 x 10
= 90 km/h
Answer(s): (a) 1088 km; (b) 90km/h