SOLUTION: Alika is training for a paddleboard race between Molokai and Oahu. He knows he can average 5 mph with no current. During a recent training run in the ocean, he noticed it took th

Question 1113230: Alika is training for a paddleboard race between Molokai and Oahu. He knows he can average 5 mph with no current. During a recent training run in the ocean, he noticed it took the same amount of time to travel 10 miles with the current as it did to travel 6 miles against the current. What was the rate of the current that day?
thank you!
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
v*t=distance
(5-c)*t=6
(5+c)*t=10, where c is the current
t=6/(5-c)
t also = (10)/(5+c)
Those two are equal since the times are stated to be equal.
cross multiply
6(5+c)=10(5-c)
30+6c=50-10c
16c=20
c=1.25 mph ANSWER
check
3.75 mph against and takes 6/3.75 or 1.6 hours to go 6 miles.
6.25 mph with and takes 1.6 hours to go 10 miles

RELATED QUESTIONS
DURING A PADDLEBOARD RACE, BUSTER COMPLETED THE FIRST LEG OF 24 MILES, WITH THE CURRENT,... (answered by ikleyn)

An amateur cyclist is training for a road race. He rode the first 27-mile portion of his... (answered by Boreal)

Ed is training for a race. he ran 12.56 miles on one day and 12.98 miles the next... (answered by Alan3354)

Sammy is training for a running race. Today he ran 3 and 3/5 miles in 33 minutes. What is (answered by stanbon)

Thomas is training for a 10 km race. On monday he ran 4 2/5km on thursday he ran 5 3/8km (answered by swincher4391)

A bicycle race covers a 75-mile training route to prepare for an upcoming race. If the... (answered by htmentor)

A cyclist has 5 and 1/4 hours to complete today�s training. How long can he ride away... (answered by TimothyLamb,MathTherapy)

Marcos is training for a bike race that will take place next month. On Saturday he rode... (answered by stanbon)

Sammy is training for a running race. Today he ran 3 3/5 miles in 33 minutes. What is... (answered by stanbon)