It takes you 12 minutes to bike 2.5 miles. If you continue traveling at the same rate how long will it take you to bike 7 miles?

Question

Hi my name is Laila and I need help on this problem.

Answer 1

You can set up a ratio of minutes:miles, and then set it equal to your unknown ratio. Let x be the minutes to bike 7 miles. 

 

12 minutes:2.5 miles = x minutes:7 miles

 

Ratios can also be written as fractions:

 

12/2.5 = x/7 ... Cross multiply and you'll get:

 

2.5x = 7*12

 

2.5x = 84 ... Divide both sides by 2.5 to get x by itself:

 

x = 84/2.5

 

x = 33.6 minutes

Answer 2

Velocity = Distance/Time

V=d/t

 

V=2.5 miles/ 12 min = 0.2083 miles/min

 

t=d/V, use V just calculated 

 

t=7 miles/0.2083 = 33.6 min for 7 miles total