Japheth left City A for City Z at 08 35. Gem left City A for City C at the same time. At 11 35, they were 432 km apart. Both maintained a constant speed and reached their destination at the same time at 13 15.
- Find the distance between Cities A and C.
- If Gem was 57 the speed of Japheth, find Japheth's speed.
(a)
Time taken for Japheth and Gem to travel 08 35 to 11 35 = 3 h
Time taken for Japheth and Gem to travel 08 35 to 13 15 = 4 h 40 min = 4
4060 h = 4
23 h
Distance travelled by Japheth and Gem in 1 hour
= 432 ÷ 3
= 144 km
Total distance
= 4
23 x 144
= 672 km
(b)
Gem's distance : Japheth's distance
5 : 7
Gem's speed : Japheth's speed
5 : 7
12 u = 144 km
1 u = 144 ÷ 12 = 12 km
Japheth's speed
= 7 u
= 7 x 12
= 84 km/h
Answer(s): (a) 672 km; (b) 84km/h