A tunnel links three buildings at 2 Zinc. On rainy days, Dara uses the tunnel to go from building A to building B. On sunny days he uses the path. Dara walks between the buildings 8 times a day. How much more does he walk on a rainy day than on a sunny day?

Question

anonymous · Answer

|dw:1394321122025:dw|

anonymous · Answer

Answers are:
1280ft
$$8\sqrt{13600}$$
$$8(160-\sqrt{13600}$$
$$8(190-\sqrt{13600}$$
not enough information

bibby · Answer

Find AB using the pythagorean theorem. is 8AB greater or less than 8(100+60)?

anonymous · Answer

ok and after the pythagorean theorem?

bibby · Answer

Well, first find the length of AB.|dw:1394322319174:dw|

anonymous · Answer

116.62

anonymous · Answer

Then what?

bibby · Answer

I got that as well. then we have to measure out the lengths he walks. Our information is as follows:

*He uses the path 8 times a day.
*On rainy days he uses AB
*on sunny days he uses 60+100

anonymous · Answer

so it would be 8(166.62)(60/100)

bibby · Answer

I'm not sure where that came from. We have:

8(rainy) - 8(sunny)

[or 8(sunny) - 8(rainy) if sunny is the larger one]

anonymous · Answer

This still does not help me understand or solve the equation

bibby · Answer

The sunny path is 160 units long, right? That means if he uses the path 8 times, he walks 160*8 units on a sunny day

bibby · Answer

meanwhile, on a rainy day, he walks 8*116.619... units

bibby · Answer

oh wait we don't need an actual number

bibby · Answer

well the difference between the two paths is:$$\huge 160-\sqrt{13600}$$

do you see why?