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Let the length of the train be x. `(x)/(6)` = `(70 + x )/(13)` ⇒ 13 x = 420 + 6 x [if gte msEquation 12]>
A vessel contains a mixture of milk and water in the ratio 3: 2. If 10 liters of the mixture are taken out and replaced with 10 liters of water, the rat...
A principal of ₹8000 is invested at a compound interest rate of 10% per annum. What will be the amount after 2 years?
Let a=i+j+k, b=2i+j−k, and c=a×b. The angle between c and a is:
Solve: ∫[(x4 – 2x3 + x2 – 2x)/(x-2)] dx
The average of 26 numbers is 45. If 4 is added to each number, then the new average will be:
A car starts from point A and travels at a speed of 40 miles per hour. After 1 hour, a second car starts from point A and travels in the same direction ...
A car travels 300 km at a speed of 60 km/h and another 200 km at a speed of 80 km/h. Find the approximate average speed of the car for the entire journey.
The speed of boat 'Y' in still water is the same as the downstream speed of boat 'X'. Boat 'X' requires 1 hour longer than boat '...
Find the simplified value of the following expression:
(16.25 × 24 + 7 × √36) ÷ 23 + 3.75 × 16 – 37 × 2 + 7.5
...In a circle, two tangents PA and PB are drawn from an external point P such that the angle ∠ APB = 60°. If the radius of the circle is 10 cm, find th...