Simon left City W for City V at 07 47. Jen left City W for City C at the same time. At 10 47, they were 585 km apart. Both maintained a constant speed and reached their destination at the same time at 12 31.
- Find the distance between Cities A and C.
- If Jen was 67 the speed of Simon, find Simon's speed.
(a)
Time taken for Simon and Jen to travel 07 47 to 10 47 = 3 h
Time taken for Simon and Jen to travel 07 47 to 12 31 = 4 h 44 min = 4
4460 h = 4
1115 h
Distance travelled by Simon and Jen in 1 hour
= 585 ÷ 3
= 195 km
Total distance
= 4
1115 x 195
= 923 km
(b)
Jen's distance : Simon's distance
6 : 7
Jen's speed : Simon's speed
6 : 7
13 u = 195 km
1 u = 195 ÷ 13 = 15 km
Simon's speed
= 7 u
= 7 x 15
= 105 km/h
Answer(s): (a) 923 km; (b) 105km/h