Billy left City U for City T at 07 37. Emma left City U for City C at the same time. At 10 37, they were 504 km apart. Both maintained a constant speed and reached their destination at the same time at 12 27.
- Find the distance between Cities A and C.
- If Emma was 35 the speed of Billy, find Billy's speed.
(a)
Time taken for Billy and Emma to travel 07 37 to 10 37 = 3 h
Time taken for Billy and Emma to travel 07 37 to 12 27 = 4 h 50 min = 4
5060 h = 4
56 h
Distance travelled by Billy and Emma in 1 hour
= 504 ÷ 3
= 168 km
Total distance
= 4
56 x 168
= 812 km
(b)
Emma's distance : Billy's distance
3 : 5
Emma's speed : Billy's speed
3 : 5
8 u = 168 km
1 u = 168 ÷ 8 = 21 km
Billy's speed
= 5 u
= 5 x 21
= 105 km/h
Answer(s): (a) 812 km; (b) 105km/h