Small question about boats and rivers

Netlist · 2nd April 2006, 09:16 AM

Here’s one for the math heads.
I didn’t solve it but according to a friend, it’s doable.

Statement

Two ferry boats (A and B) operate on a river. Both boats have different (but constant) speeds.
At a given time they start off together at opposite sides of the river and meet 155m from the side where B started.
When they reach the other side both need to wait the reglementary 12 minutes before (each at their own time now) they can start crossing over again. During this second crossing they meet at 85m from the side where B took it's second start.

Question

How wide is the river?

/Hugo

xplod1236 · 2nd April 2006, 08:02 PM

The river is 380 meters wide.
The speed of boat A is 45/31 times the speed of boat B.
There is not enough information to determine the speeds of the boats.

xplod1236 · 16th May 2006, 12:56 AM

Anybody want to confirm?

2nd April 2006, 09:16 AM	#1
Netlist diyAudio Moderator Join Date: Jan 2003	Small question about boats and rivers Here’s one for the math heads. I didn’t solve it but according to a friend, it’s doable. Statement Two ferry boats (A and B) operate on a river. Both boats have different (but constant) speeds. At a given time they start off together at opposite sides of the river and meet 155m from the side where B started. When they reach the other side both need to wait the reglementary 12 minutes before (each at their own time now) they can start crossing over again. During this second crossing they meet at 85m from the side where B took it's second start. Question How wide is the river? /Hugo

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2nd April 2006, 08:02 PM	#2
xplod1236 diyAudio Member Join Date: Dec 2003 Location: On the couch	The river is 380 meters wide. The speed of boat A is 45/31 times the speed of boat B. There is not enough information to determine the speeds of the boats.

16th May 2006, 12:56 AM	#3
xplod1236 diyAudio Member Join Date: Dec 2003 Location: On the couch	Anybody want to confirm?

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