# Find the total time taken by boat to travel upstream and downstream, if the distance travel in one direction is 558 km in upstream and downstream. If

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Find the total time taken by boat to travel upstream and downstream, if the distance travel in one direction is 558 km in upstream and downstream. If speed of boat is 40 km/h and speed of current is 22 km/h.
1. 16 hours
2. 15 hours
3. 25 hours
4. 40 hours

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Correct Answer - Option 4 : 40 hours

Given

Total distance in each case = 558 km

Speed of boat = 40 km/h

Speed of current = 22 km/h

Formula used

Time = Distance/Speed

Downstream speed = (Speed of boat + Speed of current)

Upstream speed = (Speed of boat - Speed of current)

Calculation

Time in downstream = (558)/(40 + 22) = 558/62

⇒ Time in downstream = 9 hours

Time in upstream = 558/(40 - 22) = 558/18

⇒ Time in upstream = 31 hours

Total time = 9 + 31

⇒ 40 hours

∴ Time taken by boat to travel upstream and downstream is 40 hours.