Question

jose went jogging with sam. jose jogged 5/8 miles before resting. sam jogged 1/4 mile more before stopping. after resting, they continued jogging. each of them jogged a total distance of 2 1/5 miles. how far did sam job before stopping? what was the distance jose jogged after resting?

Answer 1

1. 7/8 miles
2. 63/40 or 1 23/40

Explanation:

1. 1/4 = 2/8

5/8 + 2/8 = 7/8

2. 2 1/5 = 11/5

11/5 = 88/40

5/8 = 25/40

88/40 - 25/40 = 63/40

Answer 2

For this case we have to, if Sam ran
`\frac {1} {4}`of a mile more than Jose, then, before stopping he ran:

`\frac {5} {8} + \frac {1} {4} = \frac {20 + 8} {32} = \frac {28} {32} = \frac {14} {16} = \frac { 7} {8}`

I ran
`\frac {7} {8}`miles before stopping.

Now, Jose after resting ran (
`2 \frac {1} {5} = \frac {10 + 1} {5} = \frac {11} {5}`):

`\frac {11} {5} - \frac {5} {8} = \frac {88-25} {40} = \frac {63} {40}`

Jose ran
`\frac {63} {40}`miles

ANswer:

`\frac {7} {8}\\\frac {63} {40}`