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Hi, a bit confused here, maybe you can help me out.

Boat 1 travels 326 KM per day
Boat 2 travels 423 KM per day
Distance between boats is 3560 KM
At what KM will they pass each other

thank you

2007-09-11 04:31:54 · 2 answers · asked by Kap 1 in Science & Mathematics Mathematics

Sorry about that, The 2 boats are travelling towards each other.

2007-09-11 04:41:36 · update #1

2 answers

Not enough information. What is the direction of their velocity vectors? All you have given is the magnitude. Are they traveling toward each other or in the same direction?

Assuming it is toward each other, the boats are approaching each other at a relative speed of 749 km/day. Thus they will pass each other in:

3560/749 = 4.75 days

This is:
4.75*326 = 1550 miles from Boat 1's original position and
4.75*423 = 2010 miles from Boat 2's original position

(all answers to 3 sig figs)

2007-09-11 04:38:45 · answer #1 · answered by gebobs 6 · 0 1

Let's say boat 1 starts at 0 and boat 2 starts at 3560 and they head to one another. They meet when...

0 + 326x = 3560 - 423x

or

749x = 3560

x = 4.753 days

They'll pass at 326km/day x 4.753 days = 1549.479 km from boat 1's starting point.

2007-09-11 04:39:15 · answer #2 · answered by PMP 5 · 2 0

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