I traveled from Vertex Valley to Fraction Falls last week. I completed 3/5 of the distance in the morning and 2/3 of the remaining distance in the afternoon. I still had 6 miles to travel. What is the distance from Vertex Valley to Fraction Falls?
Completing 3/5 ths leaves 2/5 ths
completing 2/3 of this is 2/3 (2/5) = 4/15ths
so you completed 3/5 + 4/15 = 13/15ths completed ....this leaves 2/15ths and this is equal to 6 miles
2/15 x = 6
x = 6 (15/2) = 45 miles