F. 1 Maths (Urgent)

2010-05-08 7:24 am
Gary drives a car at a speed of 80 km/h from city A to city B. At the same time, Louisa and Connie drive at a speed of 60 km/h and 65 km/h respectively from city B to city A. If Gary meets Louisa 30 minutes after he has met Connie, find the distance between city A and city B.

Solution : Assume Gary meets Connie after travelling for x hours, then Gary meets Louisa after travelling for ___________ hours.

請解釋一吓怎樣做, 十分謝謝.

回答 (2)

2010-05-08 7:49 am
✔ 最佳答案
Assume Gary meets Connie after travelling for x hours, then Gary meets Louisa after travelling for ___x + 1/2________ hours. (30minutes = 1/2 hour)
then the distance between city A and city B
= 80x + 65x or 80(x + 1/2) + 60(x + 1/2) ,
Hence ,
80x + 65x = 80(x + 1/2) + 60(x + 1/2)
145x = 80x + 40 + 60x + 30
5x = 70
x = 14

The distance between city A and city B
= 80x + 65x = 145x = 145*14 = 2030 km

2010-05-08 8:08 am
Solution : Assume Gary meets Connie after travelling for x hours, then Gary meets Louisa after travelling for __x+0.5_ hours.
now imagine a figure in yr mind or draw it
the distance between gary meets louisa after he meet connie =80 x 0.5 = 40km
the distance between louisa n connie= 5 km/h
so the distance between louisa n connie =5 x 0.5=2.5 km
so now set an equation from the solution, then hence, find the distance between city A and city B using the formulas
i hope u ll understand or maybe i was wrong
參考: me


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