Question

A travelers ground speed is 2 feet per second against the walkway and 8 feet per second with the walkway, what is the travelers speed off the walkway, what is the speed of yhe walkway

Answer 1

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:

$T - W = 2$ ---- i.e. 2ft/s against the walkway

When the traveller walk with the walkway, we have:

$T + W = 8$ ---- i.e. 8ft/s with the walkway

Required

Solve for W and T

$T - W = 2$ --- (i)

$T + W = 8$ --- (ii)

Add (i) and (ii)

$T + T - W + W = 2 + 8$

$T + T = 2 + 8$

$2T = 10$

Divide both sides by 2

$\frac{2T}{2} = \frac{10}{2}$

$T = \frac{10}{2}$

$T = 5$

Substitute 5 for T in (ii)

$T + W = 8$

$5 + W = 8$

Make W the subject

$W = 8 - 5$

$W = 3$

Hence, the traveller's speed is 5ft/s and the walkway speed is 3ft/s