A boatsman can travel by his boat a dist...

A boatsman can travel by his boat a distance of 30 kilometres in 6 hours in favour of the current . While he comes back in 10 hours against the current . Find the velocity of the current and the velocity of the boat in still water.

Text Solution

Verified by Experts

The correct Answer is:

the velocity of the current = 1 km/h and the velocity of the boat in still water = 4 km/h.

Topper's Solved these Questions

LINEAR EQUATIONS IN REAL PROBLEMS
CALCUTTA BOOK HOUSE|Exercise EXERCISE-5|31 Videos
LINEAR EQUATIONS
CALCUTTA BOOK HOUSE|Exercise EXERCISE - 4.2|77 Videos
LOGARITHM
CALCUTTA BOOK HOUSE|Exercise Exercise - 7 (Long-answer type questions)|49 Videos

Similar Questions

Explore conceptually related problems

A boat travels 64 km in 16 hours in favor of the current and 24 km in 8 hours against the current of the river. Find the velocity of the boat in steady water and the velocity of the current with the help of graph.

Express the following statements in the form of simultaneous linear equations and solve them by drawing graphs : (iv) A boat travels 56 km in 4 hours in favour of the current and 48 km in 8 hours against the current. Find the velocity of the boat in steady water and the velocity of the current.

A boat travels up stream 30 kilometres and down -stream 44 kilometres in 10 hours . It also travels up-stream 40 kilometres and down-stream 55 kilometres in 13 hours . Find the velocity of the stream and of the boat in still water.

A person travels by boat 5 kilometres in 1 hour in still water. The time he requires to travel 40 kilometres against the current is 3 times the time he requires to travel the same distance in favour of the current . Find the velocity of the current .

A man goes to a place covering distance of 8km and returns to the same place by boat in 4 hours 16 minutes. If the speed of the stream is 1km//hr then find the speed of the boat is still water.

A man crosses a river in a boat. If he crosses the river in minimum time he takes 10 min with a drift 120 m . If he crosses the river taking the shortest path, he takes 12.5 min. What is the velocity of the boat in still water ?

The time required by a motor car to travel a cartain distance is 3 hours less if its velocity be increased by 9 kilometres per hour. Again ,if the velocity be decreased by 6 kilometres per hour , then the time required by the car to travel the same distance is 3 hours more. Find the velocity of the car and the certain distance.

A boat takes 6 h to travel some distance along the current on a river. It takes 10 h to travel the same distance against the current. Find out the time taken by the boat to travel that distance in the absence of any current.

CALCUTTA BOOK HOUSE-LINEAR EQUATIONS IN REAL PROBLEMS-EXERCISE-5

A boatsman can travel by his boat a distance of 30 kilometres in 6 hou...
Text Solution
|
Starting at 10a.m., a man walks at the rate of 5km/hr. Starting 2 hour...
Text Solution
|
Satyababu went to the market taking Rs. 60 in his pocket to buy some ...
Text Solution
|
The denominator of a fraction is greater than numerator of it by 5 and...
Text Solution
|
The total price of 2 tables and 3 chairs is Rs. 1075. While the total ...
Text Solution
|
The present age of a father is twice that of his son , 14years ago, th...
Text Solution
|
The sum of weight of pradip and Prakash is 80 kg. Half of the weight o...
Text Solution
|
sum of the ages of a father and his son is 55 years. After 10 years , ...
Text Solution
|
The total cost of 3 kg mustered -oil and 2 kg coconut -oil is Rs. 104....
Text Solution
|
The sum of two digits of a number consisting of two digits is 7 . If 2...
Text Solution
|
At present , sum of the ages of a father and his son in 46 years . Whe...
Text Solution
|
If the length of a rectangle is increased by 3 metres and the breadth ...
Text Solution
|
Sum of the numerator and the denominator of a fraction is 13. If 4 is ...
Text Solution
|
A man travels a distance in 3 hours with a uniform velocity . If the d...
Text Solution
|
If the length of a a rectangular park be increased by 2 metres and the...
Text Solution
|
If 2 is subtracted from the numerator and 3 is added to the denominato...
Text Solution
|
The sum of the present ages of a mother and her daughter is 55 years. ...
Text Solution
|
A number of two digits is 3 more than 4 times of the sum of its digits...
Text Solution
|
5 times of the greater one of two numbers is 2 more than 8 times of th...
Text Solution
|
If 2 is added to both the numerator and the denominator of a fraction ...
Text Solution
|
The total price of 9 horses and 7 cows is Rs. 3000 and at the same rat...
Text Solution
|