Will left City Y for City X at 09 37. Risa left City Y for City C at the same time. At 12 37, they were 567 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 Risa was 45 the speed of Will, find Will's speed.
(a)
Time taken for Will and Risa to travel 09 37 to 12 37 = 3 h
Time taken for Will and Risa to travel 09 37 to 14 17 = 4 h 40 min = 4
4060 h = 4
23 h
Distance travelled by Will and Risa in 1 hour
= 567 ÷ 3
= 189 km
Total distance
= 4
23 x 189
= 882 km
(b)
Risa's distance : Will's distance
4 : 5
Risa's speed : Will's speed
4 : 5
9 u = 189 km
1 u = 189 ÷ 9 = 21 km
Will's speed
= 5 u
= 5 x 21
= 105 km/h
Answer(s): (a) 882 km; (b) 105km/h