Question

George jogged a total distance of 9 and 1 over 2 miles during the months of October and November. If George only jogged 1 over 4 mile every day, which expression shows the number of days in which he went jogging?

Answer 1

(9 and 1/2)/(1/4)= number of days he went jogging

Answer 2

Number of days George went for jogging will be t =
`((19)/(2))/((1)/(4) )` days

Explanation:

George jogged total distance =
`9(1)/(2)=(19)/(2)` miles

Since George jogged per day =
`(1)/(4)` miles

Let total number days George jogged for = t days

Therefore, total distance jogged by George in t days =
`((1)/(4))* t` miles

Total distance given as
`(19)/(2)` miles will be equal to the distance traveled in t days.

Equation to determine the value of t will be

`((1)/(4))* t` =
`(19)/(2)`

t =
`((19)/(2))/((1)/(4) )` days

Therefore, number of days George went for jogging will be t =
`((19)/(2))/((1)/(4) )` days