Warren left City T for City S at 08 41. Elyse left City T for City C at the same time. At 12 41, they were 780 km apart. Both maintained a constant speed and reached their destination at the same time at 14 17.
- Find the distance between Cities A and C.
- If Elyse was 67 the speed of Warren, find Warren's speed.
(a)
Time taken for Warren and Elyse to travel 08 41 to 12 41 = 4 h
Time taken for Warren and Elyse to travel 08 41 to 14 17 = 5 h 36 min = 5
3660 h = 5
35 h
Distance travelled by Warren and Elyse in 1 hour
= 780 ÷ 4
= 195 km
Total distance
= 5
35 x 195
= 1092 km
(b)
Elyse's distance : Warren's distance
6 : 7
Elyse's speed : Warren's speed
6 : 7
13 u = 195 km
1 u = 195 ÷ 13 = 15 km
Warren's speed
= 7 u
= 7 x 15
= 105 km/h
Answer(s): (a) 1092 km; (b) 105km/h