A car travels 1/6 of the distance between two cities in 3/5 of an hour. At this rate, what fraction of the distance between the two cities c

3/5 is 2/5 less than one whole

We need to find how much they traveled in 2/5 of an hour and add that to 1/6

In 1/5 of an hour,  they traveled 1/18 of a mile

(1/18)*2=1/9

1/9+1/6=10/36

10/36=5/18

They traveled 5/18 in one hour

As for how I found out 1/18,  I was finding 1/5

1/5 goes into 3/5 3 times,  so I divided 1/6 by 3

(1/6)/(3/1)

Flip and multiply

(1/6)*(1/3)=1/18

Here's another way of looking at it:

 

Let the distance betwen the cities be d miles

The speed, s, of the car is distance travelled divided by time taken or (d/6 miles)/(3/5 hours) = (d/6)*(5/3) miles per hour = 5d/18 miles per hour

 

At this speed the car will travel 5d/18 miles in one hour.

As a fraction of the distance between the cities this is (5d/18)/d or just 5/18

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