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

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

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

`(2T)/(2) = (10)/(2)`

`T = (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