Tom left City N for City M at 07 32. Lynn left City N for City C at the same time. At 11 32, they were 720 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 Lynn was 78 the speed of Tom, find Tom's speed.
(a)
Time taken for Tom and Lynn to travel 07 32 to 11 32 = 4 h
Time taken for Tom and Lynn to travel 07 32 to 14 17 = 6 h 45 min = 6
4560 h = 6
34 h
Distance travelled by Tom and Lynn in 1 hour
= 720 ÷ 4
= 180 km
Total distance
= 6
34 x 180
= 1215 km
(b)
Lynn's distance : Tom's distance
7 : 8
Lynn's speed : Tom's speed
7 : 8
15 u = 180 km
1 u = 180 ÷ 15 = 12 km
Tom's speed
= 8 u
= 8 x 12
= 96 km/h
Answer(s): (a) 1215 km; (b) 96km/h