Question
Quantity I: The speed of a boat in still water is 12
km/hr. It takes 4.5 hours to travel 24 km downstream and return. What is the speed of the stream? Quantity II: A boat takes 1.5 hours less to travel 36 km downstream than upstream. If the boat's speed in still water is 10 km/hr, find the speed of the stream.Solution
Solution: Quantity I: Let the speed of the stream = x km/hr. Downstream speed = (12 + x) km/hr, and upstream speed = (12 - x) km/hr. Time taken downstream = 24/(12 + x) Time taken upstream = 24/(12 - x) According to the question: 24/(12 + x) + 24/(12 - x) = 4.5 Solving for x: Cross-multiplying and simplifying, we get x = 4 km/hr. Quantity II: Let the speed of the stream = y km/hr. Downstream speed = 10 + y, and upstream speed = 10 - y. According to the question: 36/(10 - y) - 36/(10 + y) = 1.5 Solving for y: Cross-multiplying and simplifying, we get y = 2 km/hr. Answer: E (Quantity I > Quantity II)
AstroSat, India’s dedicated space observatory, studies celestial bodies in which spectral bands?
Which pair of folk dances and their respective Indian states is incorrectly matched?
The PM Surya Ghar: Muft Bijli Yojana aims to boost which of the following?
Biju Patnaik International Airport is situated at
The value of an asset less the value of all liabilities on that asset is known as ________.
Who is the Principal Scientific Advisor to the Government of India?
Which one of the following is the most newly formed state in INDIA?
In which state is the folk dance 'Suggi Kunitha' performed?
Which G7 country was the first to end coal-fired power production, marking the closure of its last plant?
What is the maximum loan amount available under the "Shishu" category of the Pradhan Mantri Mudra Yojana (PMMY)?
Relevant for Exams:
