SOLUTION: Alan sets off from Campsite A on a bearing of 100 degrees at an average speed of 5.6 kilometres per hour. At the same time Bob sets off from campsite B on a bearing of 70 degrees.

Question 1100416: Alan sets off from Campsite A on a bearing of 100 degrees at an average speed of 5.6 kilometres per hour.
At the same time Bob sets off from campsite B on a bearing of 70 degrees.
After 3 hours they both arrive at campsite C.
Who has the faster average speed and by how much?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Alan sets off from Campsite A on a bearing of 100 degrees at an average speed of 5.6 kilometres per hour.
At the same time Bob sets off from campsite B on a bearing of 70 degrees.
After 3 hours they both arrive at campsite C.
Who has the faster average speed and by how much?
:
let s = Bob's speed to C
then
3s = the dist from B to C
:
Draw this out to form a triangle A B C, where
A = 180-100 = 80 degrees
B = 70 degrees
C = 180 - 80 - 70 = 30 degrees
:
Alan's dist (AC): 3 * 5.6 = 16.8 km, (opposite angle B:
Use the law of sines
=
I got
3s =
3s = 17.606
s = 17.606/3
s = 5.87 km/hr, about .3 km/hr faster
RELATED QUESTIONS
Tim drives at an average speed of 80km per hour for 3 hours 45 minutes how many... (answered by Alan3354)

tim drives at an average speed of 80km per hour for 3hours and 45 minutes how many... (answered by ikleyn)

Hi Tim and Michelle drove from A to B which was 285km away. Tim set off for B at an... (answered by CPhill,greenestamps,MathTherapy)

a cyclist travels for 10 hours at an average speed of 8 kilometres per hour. Would he... (answered by ankor@dixie-net.com)

a plane takes off from an air field at 10.00 am and flies at 120km/hr on a bearing of 325 (answered by ankor@dixie-net.com)

A fighter plane and a helicopter set off from airbase A at the same time. The helicopter... (answered by ankor@dixie-net.com)

how far would a train travel in d hours at an average speed of 55 kilometres per hour? (answered by jorel555)

A train is travelling at an average speed of 40 kilometres per hour. How long wil it take (answered by anjamini,jojo14344)

Flight 2412 takes of from SMF with a bearing of N15E at speed of 350 mph. Flight 813... (answered by Alan3354)