Warren left City F for City E at 09 31. Penelope left City F for City C at the same time. At 14 31, they were 800 km apart. Both maintained a constant speed and reached their destination at the same time at 16 13.

1. Find the distance between Cities A and C.
2. If Penelope was ⁷₉ the speed of Warren, find Warren's speed.

(a)
Time taken for Warren and Penelope to travel 09 31 to 14 31 = 5 h
Time taken for Warren and Penelope to travel 09 31 to 16 13 = 6 h 42 min = 6⁴²₆₀ h = 6⁷₁₀ h

Distance travelled by Warren and Penelope in 1 hour
= 800 ÷ 5
= 160 km

Total distance
= 6⁷₁₀ x 160
= 1072 km

(b)
Penelope's distance : Warren's distance
7 : 9

Penelope's speed : Warren's speed
7 : 9

16 u = 160 km
1 u = 160 ÷ 16 = 10 km

Warren's speed
= 9 u
= 9 x 10
= 90 km/h

Answer(s): (a) 1072 km; (b) 90km/h