Let the speed of stream be ‘x’ km/hr. So, speed of boat in still water = 5 × x = 5x km/hr Downstream speed of boat = 5x + x = 6x km/hr According to question; 6x = 126/7 = 18 Or, x = 3 Upstream speed of the boat = 5x – x = 4x = 4 × 3 = 12 km/hr Required time taken = 108/12 = 9 hours
Find the value of cos 15° × cos 75° + sin 15° × sin 75°:
Two types of wheat costing ₹45 per kg and ₹65 per kg are blended in a ratio such that the final mixture is sold at ₹72 per kg with a 20% profit. W...
5 positive numbers are written on a piece of paper. Sum of first 3 numbers is 45 and ratio of the 4th and the 5th number is 2:3. If difference between t...
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A trader purchases an item at 25% below the labeled price and sells it at 35% above the labeled price. If his profit is ₹1,500, what is the cost price...
24 × 25 – 375 + 5² = 25% of ? + 2.5% of 6000
If P is the amount invested at 5% p.a compounded half yearly for 2 years, what would be the amount received at the end of 2 years?
The simple interest on a sum of money is 8/25 of the sum. If the rate of interest per annum is two times of the number of years in numerically. Find the...
A boat can travel 30 km downstream in 2 hours and return upstream in 3 hours. What is the speed of the boat in still water?
A regular hexagon has a side length of 6 units. What is the area of the hexagon?
