A man wants to reach a centain 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 ratio of the durations he requires to cross the patch of mud, stream and tar road is

Options

A. `1/2:4/3:5/2`
B. `3 : 8 : 15`
C. `10 : 15 : 18`
D. `1: 2 : 3`

Answer

C

Explanation

Let distance is 6 x
`{:(,,"mud",:,"tar",:,"stream"),("distance",,"x",:,"3x",:,"2x"),("speed",,"3v",:,"5v",:,"4v"),("time",,(x)/(3v),:,(3x)/(5v),:,(2x)/(4v)),(,,10,:,18,:,15):}`