anonymous
  • anonymous
2 ferryboats started at the same instant from opposite sides of a river, traveling across the water at right angles to the shore. They first met 720 yards from the nearest shore and, on reaching the opposite side, spent 10 minutes in the slip before starting back. They met again 400 yards from the nearest shore. What is the width of the river?
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
If the first boat has speed v1 and the second has v2. Let the width be x. The first boat has travelled 720m. The second x-720. They have travelled for same time so 720/v1=(x-720)/v2. v2/v1=(x-720)/720. Similarly the second time, 400/v2=(x-400)/v1. v2/v1=400/x-400. so (x-720)(x-400)=720*400. Solve the quadratic.
anonymous
  • anonymous
could you elaborate it further? it's complicated. . .
anonymous
  • anonymous
pleaseee.

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y2o2
  • y2o2
If there velocity were the same in the i the two times , they would have met at the same distance from the nearest shore in the two times.
anonymous
  • anonymous
Ok. |dw:1328425736975:dw| So here velocity = distance/time. The time they travel to meet each other is same as they started out at the same time.
anonymous
  • anonymous
why did you use x-720?
anonymous
  • anonymous
Because thats the distance travelled by the second boat.
anonymous
  • anonymous
you mean the second boat travel lesser than the 2nd?
anonymous
  • anonymous
Maybe, May not be it depends on x, if x is greater than 1540 then the second travelled more if it is lesser than that then the first travelled more.Thats not an issue.
anonymous
  • anonymous
wer did you get 1540? i'm confused now?
anonymous
  • anonymous
Ah screw the 1540. It does not matter how much each boat has travelled .U just need to find the width x. Why are breaking your head over unnecassry things?
dumbcow
  • dumbcow
the answer is 1120yds.
anonymous
  • anonymous
how? @dumbcow..
dumbcow
  • dumbcow
solve the quadratic that shankvee\ posted earlier.
anonymous
  • anonymous
aah. . thank you all. . that's why i'm asking lots of questions because i have to defend my answer. .
anonymous
  • anonymous
I would prefer shankvee without the '\'.... LOL....
dumbcow
  • dumbcow
then why put it?
y2o2
  • y2o2
can somebody answer my question ?!
dumbcow
  • dumbcow
what question? @y202
y2o2
  • y2o2
If there velocity were the same in the i the two times , they would have met at the same distance from the nearest shore in the two times.
anonymous
  • anonymous
at shankvee\
anonymous
  • anonymous
Well actually i think the question does not imply neearest shore it means opposite shores.
dumbcow
  • dumbcow
If v1 equals v2 then the ratio is 1 where they met would be the same distance which would equal half the width. basically, they would meet halfway in between if they are going the same velocity.

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