Question

If 10 minutes is how long it took Lisa to walk 1/4 of the way home, how long does it take to walk 2/3 of the way home?

Answer 1

`26(2)/(3)` minutes (or 26 minutes 40 seconds)

Explanation:

This problem can be very easily solved with ratios and proportions.

We can create two ratios and equate them. Then we cross multiply and find the unknown.

Let the time it takes to walk 2/3rd of the way be "t".

We will keep minutes on top (numerator) and the fractional way on the bottom (denominator) when creating our ratios.

Simply put, 10 mins = 1/4th of the way, so "t" mins means 2/3rd of the way. Thus we can write:

`(10)/((1)/(4))=(t)/((2)/(3))\\(1)/(4)t=10*(2)/(3)\\(1)/(4)t=(20)/(3)\\t=((20)/(3))/((1)/(4))\\t=(20)/(3)*(4)/(1)\\t=(80)/(3)\\t=26(2)/(3)`

sO, IT IS GOING to take
`26(2)/(3)` minutes to go 2/3rdof the way.

Or, 26 minutes and 40 seconds