Billy left City U for City T at 08 41. Jaslyn left City U for City C at the same time. At 10 41, they were 360 km apart. Both maintained a constant speed and reached their destination at the same time at 12 21.
- Find the distance between Cities A and C.
- If Jaslyn was 57 the speed of Billy, find Billy's speed.
(a)
Time taken for Billy and Jaslyn to travel 08 41 to 10 41 = 2 h
Time taken for Billy and Jaslyn to travel 08 41 to 12 21 = 3 h 40 min = 3
4060 h = 3
23 h
Distance travelled by Billy and Jaslyn in 1 hour
= 360 ÷ 2
= 180 km
Total distance
= 3
23 x 180
= 660 km
(b)
Jaslyn's distance : Billy's distance
5 : 7
Jaslyn's speed : Billy's speed
5 : 7
12 u = 180 km
1 u = 180 ÷ 12 = 15 km
Billy's speed
= 7 u
= 7 x 15
= 105 km/h
Answer(s): (a) 660 km; (b) 105km/h