Warren left City Z for City Y at 08 47. Jaslyn left City Z for City C at the same time. At 11 47, they were 630 km apart. Both maintained a constant speed and reached their destination at the same time at 15 43.

1. Find the distance between Cities A and C.
2. If Jaslyn was ⁷₈ the speed of Warren, find Warren's speed.

(a)
Time taken for Warren and Jaslyn to travel 08 47 to 11 47 = 3 h
Time taken for Warren and Jaslyn to travel 08 47 to 15 43 = 6 h 56 min = 6⁵⁶₆₀ h = 6¹⁴₁₅ h

Distance travelled by Warren and Jaslyn in 1 hour
= 630 ÷ 3
= 210 km

Total distance
= 6¹⁴₁₅ x 210
= 1456 km

(b)
Jaslyn's distance : Warren's distance
7 : 8

Jaslyn's speed : Warren's speed
7 : 8

15 u = 210 km
1 u = 210 ÷ 15 = 14 km

Warren's speed
= 8 u
= 8 x 14
= 112 km/h

Answer(s): (a) 1456 km; (b) 112km/h