Ryan left City R for City Q at 07 49. Yen left City R for City C at the same time. At 11 49, they were 624 km apart. Both maintained a constant speed and reached their destination at the same time at 14 19.
- Find the distance between Cities A and C.
- If Yen was 58 the speed of Ryan, find Ryan's speed.
(a)
Time taken for Ryan and Yen to travel 07 49 to 11 49 = 4 h
Time taken for Ryan and Yen to travel 07 49 to 14 19 = 6 h 30 min = 6
3060 h = 6
12 h
Distance travelled by Ryan and Yen in 1 hour
= 624 ÷ 4
= 156 km
Total distance
= 6
12 x 156
= 1014 km
(b)
Yen's distance : Ryan's distance
5 : 8
Yen's speed : Ryan's speed
5 : 8
13 u = 156 km
1 u = 156 ÷ 13 = 12 km
Ryan's speed
= 8 u
= 8 x 12
= 96 km/h
Answer(s): (a) 1014 km; (b) 96km/h