Question

Ritu can row downstream 20Km in 2hours and upstream 4Km in 2 hours. Find her speed of rowing in still water and the speed of current.​

Answer 1

Answer:

Answer. 6 kmph is the speed at which Ritu rows 4 kmph is the speed of the current. Given: Ritu downstream is 20 km in 2 hours.

Step-by-step explanation:

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Answer 2

Given:-

• Ritu can row downstream 20km in 2hours, and upstream 4km in 2 hours.

To find:-

• Find speed of rowing in still water and the speed of the current.

Solutions:-

• Let the speed of boat in still water be x km/hr.
• Let the speed of current by y km/hr.

Speed downstream = Speed of boat in still water speed of stream speed downstream = x + y

Speed upstream = Speed of boat in still water speed of stream speed upstream = x - y

Ritu can row downstream 20km in 2hours

Speed = distance/time

=> x + y = 20/2

=> x + y = 10 ...........(i).

Ritu can row upstream 4km in 2 hours.

Speed = distance/time

=> x - y = 4/2

=> x - y = 2 ...........(ii).

Subtracting Eq. (i) and (ii) we get,

${x} \: + \: {y} \: \: = \: \: {10} \\ {x} \: - \: {y} \: \: = \: \: {2} \\ \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \: {2x} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \: \: \: {12}$

=> x = 12/2

=> x = 6

Now, putting the value of x in Eq. (i).

=> x + y = 10

=> 6 + y = 10

=> y = 10 - 6

=> y = 4

Hence, Speed of boat in still water x is 6 km/hr. and Speed of stream y is 4 km/hr.