Question

Last week Rachel power walked 2 3/5 miles per day on each of the 7 days. During the same week, she also jogged 5 3/4 miles per day on 4 days. What was the total number of miles Rachel power walked and jogged last week? [RESPOND QUICKLY AND PLEASE SHOW ALL WORK]

Answer 1

41.2 miles because 3/5=.6 so 2.6 x 7 = 18.2 then for the jogging 3/4 = .75 so 5.75 x 4 = 23 so 23+18.2= 41.2

Answer 2

41.2 miles was the total number of miles Rachel power walked and jogged last week

Explanation:

Unit rate are defined as the rate are expressed as a quantity of 1, such as 3 feet per second or 4 miles per hour, they are called unit rates.

As per the given statement: Last week Rachel power walked 2 3/5 miles per day on each of the 7 days.

⇒
`\text{Unit rate per day} = 2(3)/(5) =(13)/(5) = 2.6 \text{miles}`

Total number of miles she walked in 7 days =
`\text{Unit rate per day} * 7`

=
`2.6 * 7 = 18.2` miles

Also, it is given that during the same week, she also jogged 5 3/4 miles per day on 4 days.

⇒
`\text{Unit rate per day} = 5(3)/(4) =(23)/(4) = 5.75 \text{miles}`

Total number of miles she jogged in 4 days =
`\text{Unit rate per day} * 4`

=
`5.75 * 4 = 23` miles

Total number of miles Rachel power walked and jogged last week = 18.2 +23 = 41.2 miles