Question

Roger Waters can scrape up just enough money to rent a canoe for 1 hour and 30 minutes. If he paddles out on a lake at 4 kph and returns at 2 kph, how far will he have paddled the canoe? Which of the following is a true statement based on this problem?

a. The distance paddled out is equal to the distance paddled returning.
b. The time traveled out is equal to the time traveled returning.
c.The rate traveled out is equal to the rate returning.

Answer 1

i know its no c for a fact

Explanation:

i believe its a

Answer 2

He will have paddled the canoe for 4 km.

a. The distance paddled out is equal to the distance paddled returning.

Explanation:

Let d be the distance that Roger Waters paddled out.

Let t be the time for the travel he paddled out and t' be the time for returning.

Then from the formula
`time=(distance)/(speed)`,

t =
`(d)/(4)` and t' =
`(d)/(2)`

Total time for the journey = 1 hour 30 minutes = 1.5 hours

So, t + t' = 1.5

`(d)/(4) +(d)/(2) =1.5`

`(3d)/(4) =1.5`

3d = 6

d = 2 km

The total distance he will have paddled the canoe = 2d = 2(2) = 4 km.

Clearly, the distance he paddled out = the distance he returned.

Hence, the correct option is A.