2 roads intersect at right angles.car a is situate

Question

2 roads intersect at right angles.car a is situated at P which is 500m from the intersection O on one of the roads.car b is at Q, 400m from O on the other road.They start out at the same time and travel towards the intersection at 20m/s and 15m/s respectively.what is the minimum distance between them?

Arun Kumar · Accepted Answer

Hello Student,d^2=(500-20t)^2+(400-15t)^2 \$now differentiate is to get the minima $ \$make sure t you got is $\leqmin({400 \over 15},{500 \over 20 }) src=http://latex.codecogs.com/gif.latex?%5C%5C%24at%20any%20time%20from%20start%24%20%5C%5Cr_A%3D%28500-20t%29i%20%5C%5Cr_B%3D%28400-15t%29j%20%5C%5C%3D%3Ed%5E2%3D%28500-20t%29%5E2&plus;%28400-15t%29%5E2%20%5C%5C%24now%20differentiate%20is%20to%20get%20the%20minima%20%24%20%5C%5C%24make%20sure%20t%20you%20got%20is%20%24%5Cleqmin%28%7B400%20%5Cover%2015%7D%2C%7B500%20%5Cover%2020%20%7D%29>Thanks & RegardsArun KumarBtech, IIT DelhiAskiitians Faculty

Magical Mathematics[Interesting Approach]> 2 roads intersect at right angles.car a i...

Leo Pixie , 10 Years ago

Arun Kumar

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Leo Pixie , 10 Years ago

Arun Kumar

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