Question : A boat takes half the time to move a certain distance downstream than upstream. The ratio of the speed of the boat in still water to that of the current is:
Option 1: $2 : 1$
Option 2: $1 : 2$
Option 3: $4 : 3$
Option 4: $3 : 1$

Question

Question : A boat running upstream takes 10 hours to cover a certain distance, while it takes 7 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and that of the water current, respectively?

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Answer 1

Correct Answer: $3 : 1$

Solution : Given: A boat takes half the time to move a certain distance downstream than upstream.
Use the given formula,
Time × Speed = Distance
Also, boat speed in still water is $p$ km/hr.
Current speed = $q$ km/hr
The downstream speed is $(p + q)$ km/hr.
The upstream speed is $(p - q)$ km/hr.
According to the question,
$(p - q) \times 2 t = (p + q) \times t$
⇒ $2 p - 2 q = p + q$
⇒ $2 p - p = 2 q + q$
⇒ $p = 3 q$
⇒ $\frac{p}{q} = \frac{3}{1}$
Hence, the correct answer is $3 : 1$ .

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Question : A boat takes half the time to move a certain distance downstream than upstream. The ratio of the speed of the boat in still water to that of the current is:Option 1: 2:1Option 2: 1:2Option 3: 4:3Option 4: 3:1

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Question : A boat takes half the time to move a certain distance downstream than upstream. The ratio of the speed of the boat in still water to that of the current is:
Option 1: $2 : 1$
Option 2: $1 : 2$
Option 3: $4 : 3$
Option 4: $3 : 1$