Circular functions word problem
Favorites|Homepage
Subscriptions | sitemap
HOME > Mathematics > Circular functions word problem

Circular functions word problem

[From: ] [author: ] [Date: 11-11-06] [Hit: ]
16.12497] U [19.87503, 24]So ferry can only arrive/depart Bunk Island on these intervals.Ferry runs from 8 a.m.......
d ≥ 2 on intervals [0, 4.12497] U [7.87503, 16.12497] U [19.87503, 24]
So ferry can only arrive/depart Bunk Island on these intervals.

Ferry runs from 8 a.m. to 8 p.m. (t = 5 to 17)

------------------------------

d)

The earliest ferry can arrive at Bunk Island is at t = 7.87503

It takes 50 minutes (5/6 hour) to get from Main Beach to Bunk Island

Earliest ferry can leave Main Beach is at t = 7.87503 - 5/6 = 7.0417

Time: 3 a.m. + 7.0417 = 3 a.m. + 7 hr 3 min = 10:03 a.m.

------------------------------

e)

i)

The latest ferry can leave Bunk Island is at t = 16.12497

It takes 50 minutes to get from Main Beach to Bunk Island, and another 5 minutes before ferry leaves Bunk Island again, for a total of 55 minutes = 11/12 hr

Earliest ferry can leave Main Beach is at t = 16.12497 - 11/12 = 15.208303333

Time: 3 a.m. + 15.208303333 = 3 a.m. + 15 hrs 12 min = 6:12 p.m.

----------

ii)

Note that earliest and latest possible trips all arrive and leave Bunk Island within time interval [7.87503, 16.12497], where depth of water is always at least 2m. So we don't have to worry about tide going out and ferry having to wait for tide to come back in.

It takes 50 minutes to travel in each direction, plus ship spends minimum 5 minutes at each end. So ferry can leave Main Beach every 110 minutes.

Earliest ferry can leave is 10:03 a.m., latest ferry can leave is 6:12 p.m.

Assuming it spends no more than 5 minutes at each end, then ferry can leave Main Beach at following times:

10:03 a.m.
11:53 a.m.
1:43 p.m.
3:33 p.m.
5:13 p.m.

(The next trip would be at 7:03 p.m., which is too late)

Maximum round trips: 5


Mαthmφm
12
keywords: problem,Circular,functions,word,Circular functions word problem
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .