What is the speed of the boat in still water?
Statement I - The boat covers a distance of 48 km in 6 hours while running upstream.
Statement II - The boat covers the same distance in 4 hours while running downstream.
What is the speed of the boat in still water?
Statement I - The boat covers a distance of 48 km in 6 hours while running upstream.
Statement II - The boat covers the same distance in 4 hours while running downstream.
Show Hint
- If the question can be answered with the help of statement I alone.
- If the question can be answered with the help of statement II alone.
- If both, statement I and statement II are needed to answer the question.
- If the question cannot be answered even with the help of both the statements.
The Correct Option is C
Solution and Explanation
From Statement I:
The boat covers 48 km in 6 hours upstream. This gives the speed of the boat in upstream (speed = distance/time = 48/6 = 8 km/h).
However, we still don’t know the speed of the boat in still water, as we need the speed of the current to calculate that.
From Statement II: The boat covers the same distance in 4 hours downstream. This gives the speed of the boat in downstream (speed = distance/time = 48/4 = 12 km/h).
To find the speed of the boat in still water, we need both the upstream and downstream speeds to use the formula for the speed in still water.
Combining both statements: Using the formula \( {Speed in still water} = \frac{{Upstream speed} + {Downstream speed}}{2} \), we can find the speed of the boat in still water.
This requires both upstream and downstream speeds. Thus, both statements are needed to answer the question.
Top Questions on Analytical Decision Making
- Arya, a graduate from a reputable institute, got a job in an IT company but became bored after a year. Her best friend S, who worked at the same company, joined a top-tier B-school for an MBA, which tempted Arya to pursue the same path. Her friend assured her that an MBA would boost her career prospects and salary. Arya started preparing for an MBA while continuing her job, but the challenge of balancing preparation with work made her consider leaving the job.
- XAT - 2025
- Decision Making
- Analytical Decision Making
- There’s a community 30 km outside of the main city. Mr. S started a grocery business in the community after winning the bid by offering way above the rent initially drafted by the community council. The community council, led by Mr. D, agreed to the offer with a performance review every three years. Mr. S also agreed to provide an additional 15% of his grocery sales to the council, banking on the prospect of selling in higher volumes. After setting up his business, Mr. S noticed that SUV owners in the community usually bought goods in bulk from the city once a week and used his store primarily for daily necessities and occasional big purchases like mixer grinders.
- XAT - 2025
- Decision Making
- Analytical Decision Making
Among P, Q, R, S, T, and U, who is the heaviest?
Statement I - P is heavier than T and U and he is the second heaviest in the group.
Statement II - S is heavier than Q but not the heaviest.- TANCET - 2024
- Logical Reasoning
- Analytical Decision Making
Which direction is Raju facing at the moment?
Statement I - Raju took 2 consecutive right turns after covering a distance of 6m to reach the point X.
Statement II - After walking 4m early morning from point X, Raju is facing opposite direction of the sun.- TANCET - 2024
- Logical Reasoning
- Analytical Decision Making
Statements: Some ants are parrots. All the parrots are apples.
Conclusions: (1) All the apples are parrots. (2) Some ants are apples.- TANCET - 2024
- Logical Reasoning
- Analytical Decision Making
Questions Asked in TANCET exam
- In a new temperature scale say \( ^oP \), the boiling and freezing points of water at one atmosphere are \( 100^o P \) and \( 300^o P \) respectively. Correlate this scale with the Centigrade scale. The reading of \( 0^o P \) on the Centigrade scale is:
- TANCET - 2024
- Thermodynamics
- Which is odd? Tortoise, Crab, Frog, Fish
- TANCET - 2024
- Statements and Conclusions
- 138, 142, 146, 150, ?, 142, 138
- TANCET - 2024
- Statements and Conclusions
If A + B means A is the mother of B; A - B means A is the brother of B; A % B means A is the father of B, and A \(\times\) B means A is the sister of B, which of the following shows that P is the maternal uncle of Q?
- TANCET - 2024
- Statements and Conclusions
- Pointing to a man, a woman said, "His mother is the only daughter of my mother." How is the woman related to the man?
- TANCET - 2024
- Statements and Conclusions