Amit goes Mumbai to Kolkata by sea route. The speed of the boat in still water is 60 km/h and speed of the current is 15 km/h. After reaching Kolkata he stayed there for 20 minutes and after that come back by same boat. The time taken by him in this journey is 19 hours 32 minutes, find the distance travel by him in one side.
450 km
360 km
540 km
600 km
Explanation:
Time taken by him in travelling = 19 hours 32 minutes – 20 minutes
= 19 hours 12 minutes
Let Distance = x km
According to the question,
$\dfrac{x}{60 +15}+ \dfrac{x}{60-15}=19\dfrac{12}{60}$
$\dfrac{x}{75}+\dfrac{x}{45}=\dfrac{96}{5}$
$\dfrac{5x+3x}{225}=\dfrac{96}{5}$
$\dfrac{8x}{225}=\dfrac{96}{5}$
x=540 km
Time taken by him in travelling = 19 hours 32 minutes – 20 minutes
= 19 hours 12 minutes
Let Distance = x km
According to the question,
$\dfrac{x}{60 +15}+ \dfrac{x}{60-15}=19\dfrac{12}{60}$
$\dfrac{x}{75}+\dfrac{x}{45}=\dfrac{96}{5}$
$\dfrac{5x+3x}{225}=\dfrac{96}{5}$
$\dfrac{8x}{225}=\dfrac{96}{5}$
x=540 km