Japheth left City Q for City P at 07 27. Shannon left City Q for City C at the same time. At 11 27, they were 720 km apart. Both maintained a constant speed and reached their destination at the same time at 14 21.

1. Find the distance between Cities A and C.
2. If Shannon was ⁵₇ the speed of Japheth, find Japheth's speed.

(a)
Time taken for Japheth and Shannon to travel 07 27 to 11 27 = 4 h
Time taken for Japheth and Shannon to travel 07 27 to 14 21 = 6 h 54 min = 6⁵⁴₆₀ h = 6⁹₁₀ h

Distance travelled by Japheth and Shannon in 1 hour
= 720 ÷ 4
= 180 km

Total distance
= 6⁹₁₀ x 180
= 1242 km

(b)
Shannon's distance : Japheth's distance
5 : 7

Shannon's speed : Japheth's speed
5 : 7

12 u = 180 km
1 u = 180 ÷ 12 = 15 km

Japheth's speed
= 7 u
= 7 x 15
= 105 km/h

Answer(s): (a) 1242 km; (b) 105km/h