Two boats, travelling at 5 km/h and 10 km/h, head directly towards each other. They begin at a distance of 20 km from each other. How far apart are they (in km) one minute before they collide?
A. $$\frac{{1}}{{12}}$$
B. $$\frac{{1}}{{6}}$$
C. $$\frac{{1}}{{4}}$$
D. $$\frac{{1}}{{3}}$$
E. None of these
Answer: Option C
Solution (By Examveda Team)
In the final minute of collision, the two boats travel $$\frac{{5}}{{60}}$$ km and $$\frac{{10}}{{60}}$$ km. As they moves towards each other relative distance covered in 1 minute, $$\eqalign{ & = \frac{1}{{12}} + \frac{1}{6} \cr & = \frac{1}{4}\,\,{\text{km}} \cr} $$This Question Belongs to Arithmetic Ability >> Speed Time And Distance
v=d/t
total speed 15kmph
total distance covered = 20km
time taken by boats will be 80min ( at 80th minute collusion occurred)
now , 20km in 80min in then
? km in 1 min