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A boat can cover a distance of 70 km in 3.5 hours in still water. How much less time will the boat take to cover the same distance downstream if the speed of stream is 1 km/hr.?
  • a)
    10 min.
  • b)
    15 min.
  • c)
    20 min.
  • d)
    25 min.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A boat can cover a distance of 70 km in 3.5 hours in still water. How ...
⇒ Time taken to cover 70 km in still water = 3.5 hrs. = 3.5 × 60 = 210 min.
⇒ Speed of boat in still water = Distance covered/Time taken = 70/3.5 = 20 km/hr.
Now,
⇒ Speed of stream = 1 km/hr.
⇒ Downstream speed = Speed of boat in still water + Speed of stream = 20 + 1 = 21 km/hr.
⇒ Time taken to cover 70 km downstream = 70/21 = 10/3 hrs. = (10/3) × 60 = 200 min.
∴ The boat takes 210 – 200 = 10 min. less time to cover the same distance downstream
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Most Upvoted Answer
A boat can cover a distance of 70 km in 3.5 hours in still water. How ...
⇒ Time taken to cover 70 km in still water = 3.5 hrs. = 3.5 × 60 = 210 min.
⇒ Speed of boat in still water = Distance covered/Time taken = 70/3.5 = 20 km/hr.
Now,
⇒ Speed of stream = 1 km/hr.
⇒ Downstream speed = Speed of boat in still water + Speed of stream = 20 + 1 = 21 km/hr.
⇒ Time taken to cover 70 km downstream = 70/21 = 10/3 hrs. = (10/3) × 60 = 200 min.
∴ The boat takes 210 – 200 = 10 min. less time to cover the same distance downstream
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A boat can cover a distance of 70 km in 3.5 hours in still water. How much less time will the boat take to cover the same distance downstream if the speed of stream is 1 km/hr.?a)10 min.b)15 min.c)20 min.d)25 min.Correct answer is option 'A'. Can you explain this answer?
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