John left City S for City R at 08 32. Emily left City S for City C at the same time. At 10 32, they were 330 km apart. Both maintained a constant speed and reached their destination at the same time at 12 28.
- Find the distance between Cities A and C.
- If Emily was 78 the speed of John, find John's speed.
(a)
Time taken for John and Emily to travel 08 32 to 10 32 = 2 h
Time taken for John and Emily to travel 08 32 to 12 28 = 3 h 56 min = 3
5660 h = 3
1415 h
Distance travelled by John and Emily in 1 hour
= 330 ÷ 2
= 165 km
Total distance
= 3
1415 x 165
= 649 km
(b)
Emily's distance : John's distance
7 : 8
Emily's speed : John's speed
7 : 8
15 u = 165 km
1 u = 165 ÷ 15 = 11 km
John's speed
= 8 u
= 8 x 11
= 88 km/h
Answer(s): (a) 649 km; (b) 88km/h