A boat goes 76 km upstream in 4 hours and 66 km downstream in 2 hours. How do I calculate the speed of the boat in still water? Please explain the answer in brief - Find 10 Answers & Solutions

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Mathematics

Question: A boat goes 76 km upstream in 4 hours and 66 km downstream in 2 hours. How do I calculate the speed of the boat in still water? Please explain the answer in brief

Posted by: Shashank Sanade on: 28 Aug, 2017

+ 4 Answers by Expert Tutors

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Answer

upstream sppeed = 76/4 = 19 kmhr

downstream speed = 66/2 = 33 km/hr

so boat speed + flow speeed = 33 km/hr......(i)

boat speed - flow speed = 19 km/hr.........(ii)

o adding (i) and (ii) we get

so 2 X boat speed = 52 km/hr

so boat speed is 26 km/hr in still water

Answer by:

Kuntal S, Chennai

Answer

time for upstream = 76/(x-y ) = 4 and downstream = 66/(x+y) = 2: x-y = 19 and x+y = 33 Hence x = speed of boat in still water = 26 km/hour.

Answer by:

Harsh Shrivastava, Bhopal

Answer

Take speed of boat in still water as 'x' and speed of stream as 'y'. Then, for upstream: (x-y) * 4 = 76 => x - y = 19 ....(1) for downstream: (x+y) * 2 = 66 => x + y = 33 .....(2) Adding (1) and (2), 2x = 52 => x = 26 km/hour

Answer by:

Nagaraja K. S., Bangalore

Answer

speed of the boat in still water = (downstream velocity + upstream velocity)/2 = (33+19)/2 = 26 kmph

Answer by:

Venkataramanamurty, Visakhapatnam

Answer

** Correction :: Lets assume speed of stream is x km/hr, and that of boat in still water is y km/hr. When the boat goes upstream ( against the flow of stream) its resultant speed reduces to ( x-y ) km/hr. But when the boat goes upstream ( against the flow of stream) its resultant speed increases to ( x+y ) km/hr. Now as per the problem, boat goes 76 km upstream in 4 hours, and we have assumed its resultant speed is ( x - y) km/hr. we know dist = speed x time So, 76 = (x-y) x 4 => x - y = 19 ..........................(1) Considering the other case, x + y = 33 ..............................(2) Solving (1) and (2) x = 26 Ans . So speed of boat in still water is 26 km/hr.hr.

Answer by:

Gourab Ghanty, Bangalore

Answer

Lets assume speed of stream is x km/hr, and that of boat in still water is y km/hr. When the boat goes upstream ( against the flow of stream) its resultant speed reduces to ( x-y ) km/hr. But when the boat goes upstream ( against the flow of stream) its resultant speed increases to ( x+y ) km/hr. Now as per the problem, boat goes 76 km upstream in 4 hours, and we have assumed its resultant speed is ( x - y) km/hr. we know dist = speed x time So, 76 = (x-y) x 4 => x - y = 19 ..........................(1) Considering the other case, x + y = 33 ..............................(2) Solving (1) and (2) x = 26 Ans . So speed of boat in still water is 19 km/hr.

Answer by:

Gourab Ghanty, Bangalore

Answer

Let, speed of boat in still water be x km/h and speed of water be y km/h . x-y = 19, x+y = 33. Adding, 2x = 52. Or, Speed of boat in still water = 26 km/h . Ans.

Answer by:

S.chandra, Kolkata

Answer

Let speed of boat in still water be x and speed of current be y. Then time for upstream = 76/(x-y ) = 4 and downstream = 66/(x+y) = 2: x-y = 19 and x+y = 33 Hence x = speed of boat in still water = 26 km/hour.

Answer by:

R. Rajeswari, Chennai

Answer

Let U = speed of boat in still water. Let V = speed of the stream (the flowing water speed). Hence, the total speed of the boat when it is going downstream = U + V, because the speed of the stream adds to the speed of the boat. Also, the speed of the boat when it is going upstream = U - V, because the speed of the stream should be subtracted from the speed of the boat as the boat is moving against the flow of the water. Thus, upstream speed = U - V = 76/4 = 19 ....(eqn 1), and downstream speed = U + V = 66/2 = 33 ....(eqn 2). Now add the equations (1) and (2) to get 2U = 19 + 33 = 52 => U = 26 km/hour. This is the required speed of the boat in still water. We can also calculate the speed of the stream V by using any of the equations (1) and (2).

Answer by:

J Harish, Jaipur

Answer

76km in4 hrs so calculate for 1 hr in upstream Similarly 66 km in2 hrs so calculate for 1hr in downstream x= (dss+ uss )/2 where x is speed of boat solving we get 26kmph as speed of boat

Answer by:

Nirmal Upadhyay, Bhopal

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