Tom left City H for City G at 08 47. Risa left City H for City C at the same time. At 11 47, they were 540 km apart. Both maintained a constant speed and reached their destination at the same time at 15 33.
- Find the distance between Cities A and C.
- If Risa was 45 the speed of Tom, find Tom's speed.
(a)
Time taken for Tom and Risa to travel 08 47 to 11 47 = 3 h
Time taken for Tom and Risa to travel 08 47 to 15 33 = 6 h 46 min = 6
4660 h = 6
2330 h
Distance travelled by Tom and Risa in 1 hour
= 540 ÷ 3
= 180 km
Total distance
= 6
2330 x 180
= 1218 km
(b)
Risa's distance : Tom's distance
4 : 5
Risa's speed : Tom's speed
4 : 5
9 u = 180 km
1 u = 180 ÷ 9 = 20 km
Tom's speed
= 5 u
= 5 x 20
= 100 km/h
Answer(s): (a) 1218 km; (b) 100km/h