Easy Tutorial
For Competitive Exams

Consider a boat which moves at the speed of 6 km/hr. If the water runs at the speed of about 4 km/hr, then the boat requires 3 hours to reach a certain place and return. Calculate the distance between that place & boat's initial position.

10 km
5 km
15 km
4 km
Explanation:

Distance between two places =$\dfrac{t\left(x^2-y^2\right)}{2x}$

Given parameters are:

Speed of boat (x) = 6 km/hr

Speed of water (y) = 4 km/hr

Time taken by the boat to go & return back = t = 3 hrs

To find the distance between the place & initial position of boat (i.e. between two places), we have

Distance between two places =$\dfrac{t\left(x^2-y^2\right)}{2x}$

=$\dfrac{3\left(6^2-4^2\right)}{2\times6}$

=$\dfrac{3\left(36-16\right)}{12}$

=$\dfrac{\left(3\times20\right)}{12}$

=5km/hr

Additional Questions

Suppose that a person rows a boat in still water at the speed of 10 km/hr and the water runs at the speed of 4 km/hr. This person travels a certain distance & then returns. If it takes 4 hrs more for him to travel upstream than that of downstream then what will be the distance?

Answer

If the speed of boat in still water is 10 km/hr & the speed of stream is 3 km/hr, the boat rows to a place which is 50 km far & returns through the same path. What would be the average speed of boat during the journey?

Answer

If the speed of boat in still water is 20 km/hr & the speed of stream is 5 km/hr,then find Downstream speed and Upstream speed?

Answer

A man rows downstream at 20 km/hr and rows upstream at 15 km/hr. At what speed he can row in still water?

Answer

A boat takes 6 hours to cover 36 km downstream and 8 hours to cover 32 km upstream. Then the speed of the stream is?

Answer

For a motorboat that covers a certain distance downstream in 2 hours & returns in 3 hours, what would be its speed in still water if the speed of stream is 6 km/hr?

Answer

Consider a boat which moves at the speed of 6 km/hr. If the water runs at the speed of about 4 km/hr, then the boat requires 3 hours to reach a certain place and return. Calculate the distance between that place & boat's initial position.

Answer

Suppose that a person rows a boat in still water at the speed of 10 km/hr and the water runs at the speed of 4 km/hr. This person travels a certain distance & then returns. If it takes 4 hrs more for him to travel upstream than that of downstream then what will be the distance?

Answer

If the speed of boat in still water is 10 km/hr & the speed of stream is 3 km/hr, the boat rows to a place which is 50 km far & returns through the same path. What would be the average speed of boat during the journey?

Answer
Share with Friends
Privacy Copyright Contact Us