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)
564.932 + 849.029 – 425.08 = 612.095 + ?
999.99 + 99.99 + 99= ?
A sum of ₹60,000 is invested at a compound interest rate of 'x%' per annum, compounded annually, and grows to ₹75,264 in 2 ye...
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
³√? × 33.97 + 59.99 × 28.9 – 48.98 × 21.42 = 1085.344
1279.98 ÷ 40.48 × 10.12 = ? × 2.16
(124.901) × (11.93) + 219.95 = ? + 114.891 × 13.90
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
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