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Distance between Two Wheels?

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Senior | Next Rank: 100 Posts
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by Ahmed MS » Sat Oct 29, 2011 10:03 pm
Q: A thin conveyor belt is 15 feet long is drawn tightly around two circular wheels each 0.5 feet radius. What is the distance in feet between the center of two wheels?


I could not solve the problem. Please help me out!



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by rijul007 » Sat Oct 29, 2011 11:04 pm
Image

length of the belt = AB+BFC+CD+DEA

2*pi*r + 2x = 15
pi + 2x = 15
2x = 15-3.14
2x = 11.86
x=5.93

distance in feet between the center of two wheels = 5.93 ft
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by yasha_gmat » Sat Oct 29, 2011 11:15 pm
Image

As shown in the picture, we need to find the distance between A and C which is same as distance between the center of the two wheels.

Distance AC = {[ Total conveyor belt length ] - [ 2 times length of semi circle(half circumference) ] }/2
i.e AC = {[15]-[2*pi/2]}/2 = (15-pi)/2
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by Ahmed MS » Sat Oct 29, 2011 11:42 pm
yasha_gmat wrote:Image

As shown in the picture, we need to find the distance between A and C which is same as distance between the center of the two wheels.

Distance AC = {[ Total conveyor belt length ] - [ 2 times length of semi circle(half circumference) ] }/2
i.e AC = {[15]-[2*pi/2]}/2 = (15-pi)/2

Thanks Yasha. It's more clear to me now!
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by [email protected] » Tue May 29, 2012 6:33 am
Thanks Rijul for a wonderful wonderful explanation man... Your quant is really strong man...
IT IS TIME TO BEAT THE GMAT

LEARNING, APPLICATION AND TIMING IS THE FACT OF GMAT AND LIFE AS WELL... KEEP PLAYING!!!

Whenever you feel that my post really helped you to learn something new, please press on the 'THANK' button.
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