SOLUTION: A tour boat makes the round trip from the mainland to a fishing village in 6 hours. If the average speed of the boat going to the village is 15 mph and the average speed returning
Algebra.Com
Question 356297: A tour boat makes the round trip from the mainland to a fishing village in 6 hours. If the average speed of the boat going to the village is 15 mph and the average speed returning is 12 mph, how far from the mainland is the island?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A tour boat makes the round trip from the mainland to a fishing village in 6 hours.
If the average speed of the boat going to the village is 15 mph and the
average speed returning is 12 mph, how far from the mainland is the island?
:
Let d = the distance to the island
:
Write a time equation: time = dist/speed
:
time to + time back = 6 hrs
+ = 6
Multiply by 60 to clear the denominators; results:
4d + 5d = 60(6)
9d = 360
d =
d = 40 mi is the distance to the island
:
:
Confirm this by finding the actual time each way
40/15 = 2.67 hr
40/12 = 3.33 hr
----------------
total = 6 hr
RELATED QUESTIONS
A fishing boat traveled 3 hours against a 6 km/hr current. The return trip took only 2... (answered by stanbon)
A fishing boat traveled 3 hours against a 6km/hr current. The return trip took 2 hours. (answered by checkley71)
A fishing boat traveled 3 hours against a 6km/hr current. The Return trip took only 2... (answered by Electrified_Levi)
A speed boat traveling 60kph left the port 5 minutes after a fishing boat sailed. If it... (answered by drk)
A speed boat travelling 60kph left the port 5 minutes after a fishing boat sailed. If it... (answered by richwmiller)
A speed boat traveling 60kph left the port 5 minutes after a fishing boat sailed. If it... (answered by richwmiller)
a fishing boat left dock 24 and traveled south at an average speed of 18 mph. A cruise... (answered by Maths68)
A boat takes a trip upriver against the current in 6 hours. Coming back down river, the... (answered by josmiceli)
a speed boat travelling 60kph left the port 5 minutes after afishing boat sailed. If it... (answered by ankor@dixie-net.com)