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A boat running in upstream takes 8 hours 48 minutes to cover a
certain distance, while it takes 4 hours to cover the same distance
running downstream. What is the ratio between the speed of the boat
and speed of the water current respectively?
Most Upvoted Answer
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.

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A boat running in upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?
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