Question

An airport has a moving walkway in a long corridor (of lengthL) designed to savepassengers time. If Tom walks through the corridor (not on the moving walkway), it takes him150 s to reach the far end. If Tom stands on the moving walkway, it takes him 100 s to reach thefar end. How long would it take Tom to reach the far end if he got on the moving walkway andwalked at his normal speed relative to the walkway itself?

Answer 1

Answer: 60 seconds

Step-by-step explanation:

The following information can be derived from the question:

rt=d,

150r = 100

Divide through by 150

r = 100/150

r = 0.67

r = 0.67 feet/second

Fir the second part of the question,

100r=100

r = 100/100

r = 1

r= 1 feet/second

combined rate will now be:

= 0.67+1

= 1.67 feet/second

We then slot it back into the formula

rt = d

1.67t = 100

t = 100/1.67

t= 59.88 seconds

t = 60 seconds approximately