A boat takes 9 hours to travel a distance upstream and takes 3 hours to travel the same distance
downstream. If the speed of the boat in still water is 4 km/hr, what is the speed of the stream.
Answers
Answer:
12km per hour ok this is the ok
Step-by-step explanation:
first you divide 3 and 9,the boat speed is 4km per hour covered in 9 hours, then the boat takes 3 hour for same distance means the thrice speed of 4km per hour
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A boat takes 9 hours to travel a distance upstream and takes 3 hours to travel the same distance downstream. If the speed of the boat in still water is 4 Km/h, then what is the velocity of the stream?
Give fuel spends an extra mileage.
Let the distance covered by the boat each way be d km. And let the velocity of the stream be v km/hr.
While going downstream the velocity of the boat is (v+4) km/hr.
While going upstream the velocity of the boat is (v-4) km/hr.
d/(v+4) = 3, or
d = 3v +12 …(1)
d/(v-4) = 9, or
d = 9v - 36 …(2).
Equating (1) and (2)
d = 3v +12 = 9v - 36, or
9v-3v = 6v = 12+36 = 48, or
v = 48/6 = 8 km/hr
The velocity of the stream is 8 km/hr. The distance covered, d = 36 km.
Check: While going downstream time taken = 36/(4+8) = 3 hours. Correct.
While going upstream time taken = 36/(8–4) = 9 hours. Correct.
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