Tom left City B for City A at 08 38. Kathy left City B for City C at the same time. At 12 38, they were 660 km apart. Both maintained a constant speed and reached their destination at the same time at 14 14.
- Find the distance between Cities A and C.
- If Kathy was 78 the speed of Tom, find Tom's speed.
(a)
Time taken for Tom and Kathy to travel 08 38 to 12 38 = 4 h
Time taken for Tom and Kathy to travel 08 38 to 14 14 = 5 h 36 min = 5
3660 h = 5
35 h
Distance travelled by Tom and Kathy in 1 hour
= 660 ÷ 4
= 165 km
Total distance
= 5
35 x 165
= 924 km
(b)
Kathy's distance : Tom's distance
7 : 8
Kathy's speed : Tom's speed
7 : 8
15 u = 165 km
1 u = 165 ÷ 15 = 11 km
Tom's speed
= 8 u
= 8 x 11
= 88 km/h
Answer(s): (a) 924 km; (b) 88km/h