# math

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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 -

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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