Billy left City U for City T at 09 29. Elyse left City U for City C at the same time. At 11 29, they were 336 km apart. Both maintained a constant speed and reached their destination at the same time at 15 24.
- Find the distance between Cities A and C.
- If Elyse was 35 the speed of Billy, find Billy's speed.
(a)
Time taken for Billy and Elyse to travel 09 29 to 11 29 = 2 h
Time taken for Billy and Elyse to travel 09 29 to 15 24 = 5 h 55 min = 5
5560 h = 5
1112 h
Distance travelled by Billy and Elyse in 1 hour
= 336 ÷ 2
= 168 km
Total distance
= 5
1112 x 168
= 994 km
(b)
Elyse's distance : Billy's distance
3 : 5
Elyse'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) 994 km; (b) 105km/h