A boat running in upstream takes 8 hours 48 minutes to cover a certain...
Understanding the Problem
- Let the speed of the boat be x km/hr and the speed of the water current be y km/hr.
- Speed of boat in upstream = (x - y) km/hr
- Speed of boat in downstream = (x + y) km/hr
Calculating Time taken in Upstream and Downstream
- Distance = Speed x Time
Upstream:- (x - y) = Distance / 8.8 hours
- Let the distance be D
- D = 8.8(x - y)
Downstream:- (x + y) = Distance / 4 hours
- D = 4(x + y)
Finding the Ratio of Boat Speed to Water Current Speed
- Equate the two expressions for D:
- 8.8(x - y) = 4(x + y)
- Solve the equation to find the ratio of boat speed to water current speed.
Conclusion
- The ratio between the speed of the boat and the speed of the water current can be found by solving the above equation.
- This ratio will give us the relationship between the speed of the boat and the speed of the water current required to cover the given distance in the given time.