Posted by **derrius** on Thursday, May 5, 2011 at 11:55pm.

A speedboat racer travels at a steady rate of 0.75 of a mile per 0.25 of a minute.

How many minutes does it take for the boat to travel 3 miles?

How long will it take for the boat to travel 7.5 miles?

- math -
**Jai**, Friday, May 6, 2011 at 12:02am
for the first question, we just use ratio and proportion.

let x = time it takes to travel 3 miles.

0.75 mi : 0.25 min = 3 mi : x min

therefore, writing in fraction,

0.75/0.25 = 3/x

cross-multiplying,

0.75x = 0.25*3

0.75x = 0.75

x = 1 minute

for the second, we also use ratio and proportion:

let y = time it takes to travel 7.5 miles.

0.75 mi : 0.25 min = 7.5 mi : y min

thus, writing in fraction,

0.75/0.25 = 7.5/y

cross-multiplying,

0.75y = 0.25*7.5

y = 2.5 minutes

hope this helps~ :)

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