Ian left City R for City Q at 06 39. Elyse left City R for City C at the same time. At 10 39, they were 780 km apart. Both maintained a constant speed and reached their destination at the same time at 13 15.
- Find the distance between Cities A and C.
- If Elyse was 78 the speed of Ian, find Ian's speed.
(a)
Time taken for Ian and Elyse to travel 06 39 to 10 39 = 4 h
Time taken for Ian and Elyse to travel 06 39 to 13 15 = 6 h 36 min = 6
3660 h = 6
35 h
Distance travelled by Ian and Elyse in 1 hour
= 780 ÷ 4
= 195 km
Total distance
= 6
35 x 195
= 1287 km
(b)
Elyse's distance : Ian's distance
7 : 8
Elyse's speed : Ian's speed
7 : 8
15 u = 195 km
1 u = 195 ÷ 15 = 13 km
Ian's speed
= 8 u
= 8 x 13
= 104 km/h
Answer(s): (a) 1287 km; (b) 104km/h