Question

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

• A. $\frac{1}{2}:\frac{4}{5}:\frac{5}{2}$
• B. $3:8:15$
• C. $10:15:18$
• D. $1:2:3$

Answer 1

The correct option is C $10:15:18$

Let distance is $6d$
Mud : Tar : Stream

Distance $d$ : $3d$ : $2d$
Speed $3V$ : $5V$ : $2V$
time $\frac{d}{3V}$ : $\frac{3d}{5V}$ : $\frac{2d}{4V}$
= 10 : 18 : 15
(Note : Order is changed in questions)