Andy left City J for City H at 08 48. Penelope left City J for City C at the same time. At 10 48, they were 360 km apart. Both maintained a constant speed and reached their destination at the same time at 14 21.
- Find the distance between Cities A and C.
- If Penelope was 45 the speed of Andy, find Andy's speed.
(a)
Time taken for Andy and Penelope to travel 08 48 to 10 48 = 2 h
Time taken for Andy and Penelope to travel 08 48 to 14 21 = 5 h 33 min = 5
3360 h = 5
1120 h
Distance travelled by Andy and Penelope in 1 hour
= 360 ÷ 2
= 180 km
Total distance
= 5
1120 x 180
= 999 km
(b)
Penelope's distance : Andy's distance
4 : 5
Penelope's speed : Andy's speed
4 : 5
9 u = 180 km
1 u = 180 ÷ 9 = 20 km
Andy's speed
= 5 u
= 5 x 20
= 100 km/h
Answer(s): (a) 999 km; (b) 100km/h