John left City C for City B at 07 25. Linda left City C for City C at the same time. At 11 25, they were 816 km apart. Both maintained a constant speed and reached their destination at the same time at 14 10.
- Find the distance between Cities A and C.
- If Linda was 57 the speed of John, find John's speed.
(a)
Time taken for John and Linda to travel 07 25 to 11 25 = 4 h
Time taken for John and Linda to travel 07 25 to 14 10 = 6 h 45 min = 6
4560 h = 6
34 h
Distance travelled by John and Linda in 1 hour
= 816 ÷ 4
= 204 km
Total distance
= 6
34 x 204
= 1377 km
(b)
Linda's distance : John's distance
5 : 7
Linda's speed : John's speed
5 : 7
12 u = 204 km
1 u = 204 ÷ 12 = 17 km
John's speed
= 7 u
= 7 x 17
= 119 km/h
Answer(s): (a) 1377 km; (b) 119km/h