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Aman goes upstream in a motorboat and returns back to the same point in 50 minutes. If speed of the current is 5 km/hr and total distance travelled by him is 20 km, then what is the speed of the motorboat in still water?
  • a)
    20
  • b)
    26
  • c)
    25
  • d)
    28
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Aman goes upstream in a motorboat and returns back to the same point ...
Let speed of the boat in still water be x km/hr
Speed of current = 5 km/hr
⇒ Speed upstream = Speed of boat - Speed of current
⇒ u = x - 5
Speed downstream = v = x + 5
Distance travelled upstream and downstream = 20 km (∵ 10 km each for upstream and downstream)
⇒ Time taken to go upstream = 10/(x - 5) = t1
⇒ Time taken to go downstream = 10/(x + 5) = t2
Total time = 50 min = 50/60 hours = 5/6 hours
⇒ t1 + t2 = 5/6
⇒ (x - 25) (x + 1) = 0
∴ x = 25 ∵ x can’t be negative.
∴ Speed of boat in still water = 25 km/hr
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Aman goes upstream in a motorboat and returns back to the same point in 50 minutes. If speed of the current is 5 km/hr and total distance travelled by him is 20 km, then what is the speed of the motorboat in still water?a)20b)26c)25d)28Correct answer is option 'C'. Can you explain this answer?
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