Question

Jamal hiked on two trails. The first trail was 8 1 3 miles long, and the second trail was 1 3 5 times as long as the first trail. How many miles did Jamal hike? Enter your answer as a mixed number in simplest form.

Answer 1

21 2/3 miles

Explanation:

First trail = 8 1/3 miles long

Second trail = 1 3/5 times as long as the first trail

= 1 3/5 × 8 1/3

= 8/5 × 25/3

= 40 / 3

= 13 1/3 miles

How many miles did Jamal hike?

Total miles hiked = First trail + Second trail

= 8 1/3 miles + 13 1/3 miles

= 25/3 + 40/3

= 25+40/3

= 65/3

= 21 2/3 miles

Jamal hiked 21 2/3 miles

Answer 2

Answer:Total distance( miles ) covered by Jamal =21 2/3 miles

Explanation:

Step 1

first trail = 8 1/3 miles long

2nd trail = 1 3/5 times as long as the first

Therefore the distance walked in the 2nd trail is 1 3/5 x 8 1/3

changing to improper fraction and solving

=8/5 x 25/3= 40/3

The distance hiked by Jamal in the second trail = 40/3=13 1/3

Step 2

Total distance( miles ) covered by Jamal = first trail +2nd trail

= 8 1/3 + 13 1/3 =21 2/3 miles