Jamal has two friends that will join him on a walkathon. One of his friend has been training and can walk 2km/hr faster than Jamal. The other friend can walk 1km/hr slower than Jamal, create an algebraic model to determine the total time it will take the 3 friends to complete the walk.
I think we need to know Jamal's speed.
we are not given his speed. He is expressed as "x".
and the 1st friend is 2+x
and the second is 1-x
Then you cannot find time. YOu do not know distance, or speed.
My teacher said this question can be answered
Thanks anyways
To create an algebraic model for this problem, let's break it down step by step:
Let's denote:
- Jamal's walking speed as J km/hr
- The first friend's walking speed as J + 2 km/hr (faster than Jamal)
- The second friend's walking speed as J - 1 km/hr (slower than Jamal)
Next, we need to determine the total distance of the walkathon. Since the distance is not given in the question, we'll represent it symbolically as "D" km.
Now, let's find the time it takes for each friend to complete the walkathon:
For Jamal:
Time taken by Jamal = Distance / Speed
Time taken by Jamal = D / J
For the first friend who walks faster:
Time taken by the first friend = Distance / Speed
Time taken by the first friend = D / (J + 2)
For the second friend who walks slower:
Time taken by the second friend = Distance / Speed
Time taken by the second friend = D / (J - 1)
To determine the total time it will take for the three friends to complete the walkathon, we can add up their individual times:
Total time = Time taken by Jamal + Time taken by the first friend + Time taken by the second friend
Total time = D / J + D / (J + 2) + D / (J - 1)
Therefore, the algebraic model to determine the total time it will take the three friends to complete the walkathon is:
Total time = D / J + D / (J + 2) + D / (J - 1)