Some kids went on a bike ride. The ride was six hours long and the kids traveled 54 miles. For part of the ride they biked at a speed of 7 miles per hour and for part of the ride they biked at a speed of 11 miles per hour. For how long did they bike at the first speed and for how long at the other speed?

Step-by-step explanation:

The total distance they travel is 54miles

And the total time taken for the travel is 6hours.

First part of the journey

They traveled at speed 7miles/hour

Let the time for this period be t

Given that, speed = distance / time

Then, distance =speed × time

Also, let the distance covered for this journey be y

Since, d= s×t

y=7t Equation 1

Part two of the journey

They travel at speed 11miles/hour

If the time they spend in the first journey is t and the total time for the journey is 6hours, then the time for the second part of the journey is (6-t) hours

Also, if for the first part of the journey he traveled a distance of y and the total distance for the journey is 54miles, then he traveled 54-y miles for the second part

Given that, speed = distance / time

Then, distance =speed × time

54-y=11(6-t)

54-y=66-11t

11t-y=66-54

11t-y=12 Equation 2

Substitute equation 1 into 2. y=7t

11t-y=12

11t-7t=12

4t=12

t=3hours

Then the time for the first part of the journey is 3hours

The time for the second part is given as (6-t)=6-3=3hours

Then, the time for the first part and second part are equal which is 3hours

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

b mark me branliest thx

step-by-step explanation: