Eric left City C for City B at 09 24. Marion left City C for City C at the same time. At 11 24, they were 336 km apart. Both maintained a constant speed and reached their destination at the same time at 15 19.
- Find the distance between Cities A and C.
- If Marion was 59 the speed of Eric, find Eric's speed.
(a)
Time taken for Eric and Marion to travel 09 24 to 11 24 = 2 h
Time taken for Eric and Marion to travel 09 24 to 15 19 = 5 h 55 min = 5
5560 h = 5
1112 h
Distance travelled by Eric and Marion in 1 hour
= 336 ÷ 2
= 168 km
Total distance
= 5
1112 x 168
= 994 km
(b)
Marion's distance : Eric's distance
5 : 9
Marion's speed : Eric's speed
5 : 9
14 u = 168 km
1 u = 168 ÷ 14 = 12 km
Eric's speed
= 9 u
= 9 x 12
= 108 km/h
Answer(s): (a) 994 km; (b) 108km/h