Answer:
The traveller's speed is 5ft/s and the walkway speed is 3ft/s
Step-by-step explanation:
Given
Represent the traveller's speed with T and the walkway's speed with W.
When the traveller walk against the walkway, we have:
[tex]T - W = 2[/tex] ---- i.e. 2ft/s against the walkway
When the traveller walk with the walkway, we have:
[tex]T + W = 8[/tex] ---- i.e. 8ft/s with the walkway
Required
Solve for W and T
[tex]T - W = 2[/tex] --- (i)
[tex]T + W = 8[/tex] --- (ii)
Add (i) and (ii)
[tex]T + T - W + W = 2 + 8[/tex]
[tex]T + T = 2 + 8[/tex]
[tex]2T = 10[/tex]
Divide both sides by 2
[tex]\frac{2T}{2} = \frac{10}{2}[/tex]
[tex]T = \frac{10}{2}[/tex]
[tex]T = 5[/tex]
Substitute 5 for T in (ii)
[tex]T + W = 8[/tex]
[tex]5 + W = 8[/tex]
Make W the subject
[tex]W = 8 - 5[/tex]
[tex]W = 3[/tex]
Hence, the traveller's speed is 5ft/s and the walkway speed is 3ft/s
