Tim left City L for City K at 05 43. Yen left City L for City C at the same time. At 10 43, they were 825 km apart. Both maintained a constant speed and reached their destination at the same time at 12 27.
- Find the distance between Cities A and C.
- If Yen was 56 the speed of Tim, find Tim's speed.
(a)
Time taken for Tim and Yen to travel 05 43 to 10 43 = 5 h
Time taken for Tim and Yen to travel 05 43 to 12 27 = 6 h 44 min = 6
4460 h = 6
1115 h
Distance travelled by Tim and Yen in 1 hour
= 825 ÷ 5
= 165 km
Total distance
= 6
1115 x 165
= 1111 km
(b)
Yen's distance : Tim's distance
5 : 6
Yen's speed : Tim's speed
5 : 6
11 u = 165 km
1 u = 165 ÷ 11 = 15 km
Tim's speed
= 6 u
= 6 x 15
= 90 km/h
Answer(s): (a) 1111 km; (b) 90km/h