Question

Judy hiked on two trails. The first trail was 5- 1/4 miles long, and the second trail was 1- 1/2 times longer than the first one. How many miles did Judy hike?

Answer 1

Judy hiked:
`1(37)/(68) miles`

Explanation:

The first trail =
`5(1)/(4)= (21)/(4)` miles

The second trail = 1 1/2 times longer than the first

`1(1)/(2) * 5(1)/(4)\\\\ = (3)/(2)*(21)/(4) =(63)/(8)` miles

Total trails then becomes:

`(21)/(4) +(63)/(8)= ((2*21) + 63)/(8) \\\\= (42+63)/(68)=(105)/(68) \\\\= 1(37)/(68) miles`