How far apart are the ferryboats when they start their return trips?

  • Thread starter moe darklight
  • Start date
In summary, the two ferryboats traveling at right angles to the shores pass at a point 720 yards from the nearest shore and 400 yards from the other shore. After remaining in their slips for 20 minutes, they meet again, and using the relation between the distances covered by them, we can determine that the width of the river is 1760 yards.
  • #1
moe darklight
409
0
post your answers in white :biggrin: . no pen or paper allowed.

Two ferryboats start at the same instant from opposite sides of a river, traveling across the water on routes at right angles to the shores. Each travels at a constant speed, but one is faster than the other. They pass at a point 720 yards from the nearest shore. both boats remain in their slips for 20 minutes before starting back. On the return trips they meet 400 yards from the other shore.

How wide is the river?I didn't get the right answer and then I felt like an idiot because the answer is really easy :frown: .
 
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  • #2
The answer is:
1760
yards
 
  • #3
moe darklight said:
How wide is the river?

Well,
at the two moments the ferryboats meet, the relation between the distances covered by them is the same:
(w - a) / a = (2w - b) / (w + b)
So,
w = 3a - b = 3*720 - 400
w = 1760 yards

:smile:
 
  • #4
oops, totally forgot about this thread— yep, both right :biggrin: .
 

FAQ: How far apart are the ferryboats when they start their return trips?

How do you calculate the distance between the ferryboats when they start their return trips?

To calculate the distance between the ferryboats, you need to know the speed of the boats and the time it takes for them to complete their return trips. You can use the formula distance = speed x time to find the distance between the ferryboats.

What factors can affect the distance between the ferryboats when they start their return trips?

The distance between the ferryboats can be affected by the speed of the boats, any changes in the speed during the trip, and any obstacles or currents in the water that may alter their path.

Is there a specific distance that the ferryboats need to maintain when starting their return trips?

There is no specific distance that the ferryboats need to maintain when starting their return trips. The distance can vary depending on the speed and route of each boat.

How can the distance between the ferryboats be adjusted during their return trips?

The distance between the ferryboats can be adjusted by changing the speed of one or both boats or by altering their route. Communication between the boats and coordination between their captains can also help in adjusting the distance.

Why is it important to know the distance between the ferryboats when they start their return trips?

Knowing the distance between the ferryboats is important for safety reasons, as it helps the captains to navigate and avoid any potential collisions. It also helps in maintaining a steady and efficient flow of traffic between the boats.

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