Peter left City R for City Q at 08 32. Irene left City R for City C at the same time. At 12 32, they were 624 km apart. Both maintained a constant speed and reached their destination at the same time at 14 27.
- Find the distance between Cities A and C.
- If Irene was 67 the speed of Peter, find Peter's speed.
(a)
Time taken for Peter and Irene to travel 08 32 to 12 32 = 4 h
Time taken for Peter and Irene to travel 08 32 to 14 27 = 5 h 55 min = 5
5560 h = 5
1112 h
Distance travelled by Peter and Irene in 1 hour
= 624 ÷ 4
= 156 km
Total distance
= 5
1112 x 156
= 923 km
(b)
Irene's distance : Peter's distance
6 : 7
Irene's speed : Peter's speed
6 : 7
13 u = 156 km
1 u = 156 ÷ 13 = 12 km
Peter's speed
= 7 u
= 7 x 12
= 84 km/h
Answer(s): (a) 923 km; (b) 84km/h