When Suzy walks past the coffee shop, she can pick up their free wi-fi signal, which extends 60 ft from the shop. She starts walking toward the coffee shop at a rate of 3 ft/sec from her office building 180 ft away. After how many seconds will she pick up the signal? If she keeps on walking past the coffee shop, after how many seconds will she lose the signal?



Answer :

The number of seconds Suzy will pick up the signal if she starts walking toward the coffee shop at a rate of 3 ft/sec from her office building 180 ft away is 40 seconds

Distance

  • Signal distance = 60 ft
  • Suzy's speed = 3 ft/sec
  • Distance between her office building and the coffee shop = 180 ft

After how many seconds will she pick up the signal between her office building and the coffee shop = (Distance between her office building and the coffee shop - Signal distance) / Suzy's speed

= (180 ft - 60 ft) / 3 ft/sec

= 120 ft / 3 ft/sec

= 40 seconds

After how many seconds will she lose the signal = Signal distance / Suzy's speed

= 60 ft / 3 ft/sec

= 20 seconds

Therefore, If she keeps on walking past the coffee shop, she will lose the signal after 20 seconds.

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