Jack left City X for City W at 08 41. Vanessa left City X for City C at the same time. At 12 41, they were 760 km apart. Both maintained a constant speed and reached their destination at the same time at 15 29.

1. Find the distance between Cities A and C.
2. If Vanessa was ⁹₁₀ the speed of Jack, find Jack's speed.

(a)
Time taken for Jack and Vanessa to travel 08 41 to 12 41 = 4 h
Time taken for Jack and Vanessa to travel 08 41 to 15 29 = 6 h 48 min = 6⁴⁸₆₀ h = 6⁴₅ h

Distance travelled by Jack and Vanessa in 1 hour
= 760 ÷ 4
= 190 km

Total distance
= 6⁴₅ x 190
= 1292 km

(b)
Vanessa's distance : Jack's distance
9 : 10

Vanessa's speed : Jack's speed
9 : 10

19 u = 190 km
1 u = 190 ÷ 19 = 10 km

Jack's speed
= 10 u
= 10 x 10
= 100 km/h

Answer(s): (a) 1292 km; (b) 100km/h