KVPY SA Exam 2011 Question Paper

Question : 12 of 80

Marks: +1, -0

A man wants to reach a certain destination. One-sixth of the total distance is muddy while half the distance is tar road. For the remaining distance he takes a boat. His speed of traveling in mud, in water, on tar road is in the ratio 3:4:5. The ratio of the duration he requires to cross the patch of mud, stream and tar road is

$1/2:4/3:5/2$
$3:8:15$
$10:15:18$
$1:2:3$

Validate

Solution:

Let distance is 6x

\table ,\mud,:,\stream,:,\tar;\distance,x, : ,2x, : ,3x ;\speed,3v,:,4v,:,5v;\time,x/{3v},:,{2x}/{4v},:,{3x}/{5v};,10,:,15,:,18

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