Ben left City Q for City P at 09 23. Shannon left City Q for City C at the same time. At 13 23, they were 840 km apart. Both maintained a constant speed and reached their destination at the same time at 15 17.
- Find the distance between Cities A and C.
- If Shannon was 78 the speed of Ben, find Ben's speed.
(a)
Time taken for Ben and Shannon to travel 09 23 to 13 23 = 4 h
Time taken for Ben and Shannon to travel 09 23 to 15 17 = 5 h 54 min = 5
5460 h = 5
910 h
Distance travelled by Ben and Shannon in 1 hour
= 840 ÷ 4
= 210 km
Total distance
= 5
910 x 210
= 1239 km
(b)
Shannon's distance : Ben's distance
7 : 8
Shannon's speed : Ben's speed
7 : 8
15 u = 210 km
1 u = 210 ÷ 15 = 14 km
Ben's speed
= 8 u
= 8 x 14
= 112 km/h
Answer(s): (a) 1239 km; (b) 112km/h