A boat running upstream takes hours minutes to cover a certain distance while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and the speed of the water current respectively?
8:3
Step 1: Given data
The distance covered upstream in is equal to the distance covered downstream in .
Step 2: Formula used
[ where speed of the boat upstream and the speed of the boat downstream ]
Step 3: Calculating the speed of the boat upstream and the speed of the downstream
Suppose the speed of the boat upstream is x km/hr and the speed for the downstream is y km/hr.
Now, by using the given data we get the equation as multiplication of speed for downstream to its time and multiplication of upstream speed with its time as:
Then, we will solve the above expression to get the value of the ratio x:y as:
Step 4: Calculating the ratio between the speed of the boat and the speed of the water
Dividing the speed of the boat with the speed of the water current to get the ratio as:
Divide the numerator and denominator by y to get the required ratio as:
Substituting the value of
So, we get the ratio between the speed of the boat and the speed of the water current respectively as .
Hence, option (c) is the correct answer.