Neave left City Q for City P at 09 48. Abi left City Q for City C at the same time. At 11 48, they were 360 km apart. Both maintained a constant speed and reached their destination at the same time at 14 36.
- Find the distance between Cities A and C.
- If Abi was 57 the speed of Neave, find Neave's speed.
(a)
Time taken for Neave and Abi to travel 09 48 to 11 48 = 2 h
Time taken for Neave and Abi to travel 09 48 to 14 36 = 4 h 48 min = 4
4860 h = 4
45 h
Distance travelled by Neave and Abi in 1 hour
= 360 ÷ 2
= 180 km
Total distance
= 4
45 x 180
= 864 km
(b)
Abi's distance : Neave's distance
5 : 7
Abi's speed : Neave's speed
5 : 7
12 u = 180 km
1 u = 180 ÷ 12 = 15 km
Neave's speed
= 7 u
= 7 x 15
= 105 km/h
Answer(s): (a) 864 km; (b) 105km/h