Question

eric jogged 3 1/4 miles on monday, 5 5/8 on tuesday, and 8 miles on wednesday. suppose he continues the pattern for the remainder of the week. how far will eric jog on friday?

Answer 1

On Friday he jogged

`(51)/(4)=12(3)/(4)` miles.

Explanation:

Given : Eric jogged 3 1/4 miles on Monday, 5 5/8 on Tuesday, and 8 miles on Wednesday. suppose he continues the pattern for the remainder of the week.

To find : How far will Eric jog on Friday?

Solution :

On Monday he jogged
`3(1)/(4)=(13)/(4)`

On Tuesday he jogged
`5(5)/(8)=(45)/(8)`

On Wednesday he jogged 8 miles.

He jogged from Monday and Tuesday

`(45)/(8)-(13)/(4)=(45-26)/(8)=(19)/(8)`

He jogged from Tuesday and Wednesday

`8-(45)/(8)=(64-45)/(8)=(19)/(8)`

He jogs per day is
`(19)/(8)`

Now, In Thursday he jogged

`8+(19)/(8)=(64+19)/(8)=(83)/(8)`

In Friday he jogged

`(83)/(8)+(19)/(8)=(83+19)/(8)=(102)/(8)=(51)/(4)`

Therefore, On Friday he jogged

`(51)/(4)=12(3)/(4)` miles.

Answer 2

Studying the pattern, if we subtract the number of miles of Tuesday to Monday, you'll get 19/8 miles. Subtracting Wednesday to Tuesday, you'll also get 19/8 miles. So the pattern is just adding 19/8 each day. For Thursday, you'll get 10 3/8 miles. On Friday, adding 19/8 miles, Eric jogged a total of 12 3/4 miles.