Liam left City H for City G at 08 32. Betty left City H for City C at the same time. At 10 32, they were 340 km apart. Both maintained a constant speed and reached their destination at the same time at 12 26.
- Find the distance between Cities A and C.
- If Betty was 710 the speed of Liam, find Liam's speed.
(a)
Time taken for Liam and Betty to travel 08 32 to 10 32 = 2 h
Time taken for Liam and Betty to travel 08 32 to 12 26 = 3 h 54 min = 3
5460 h = 3
910 h
Distance travelled by Liam and Betty in 1 hour
= 340 ÷ 2
= 170 km
Total distance
= 3
910 x 170
= 663 km
(b)
Betty's distance : Liam's distance
7 : 10
Betty's speed : Liam's speed
7 : 10
17 u = 170 km
1 u = 170 ÷ 17 = 10 km
Liam's speed
= 10 u
= 10 x 10
= 100 km/h
Answer(s): (a) 663 km; (b) 100km/h