Pierre left City A for City Z at 08 25. Abi left City A for City C at the same time. At 12 25, they were 720 km apart. Both maintained a constant speed and reached their destination at the same time at 15 22.
- Find the distance between Cities A and C.
- If Abi was 57 the speed of Pierre, find Pierre's speed.
(a)
Time taken for Pierre and Abi to travel 08 25 to 12 25 = 4 h
Time taken for Pierre and Abi to travel 08 25 to 15 22 = 6 h 57 min = 6
5760 h = 6
1920 h
Distance travelled by Pierre and Abi in 1 hour
= 720 ÷ 4
= 180 km
Total distance
= 6
1920 x 180
= 1251 km
(b)
Abi's distance : Pierre's distance
5 : 7
Abi's speed : Pierre's speed
5 : 7
12 u = 180 km
1 u = 180 ÷ 12 = 15 km
Pierre's speed
= 7 u
= 7 x 15
= 105 km/h
Answer(s): (a) 1251 km; (b) 105km/h