Question
Two trains, whose respective lengths are 120 metres and
180 metres, cross each other in 15 seconds when they are moving in opposite directions and in 50 seconds when they are moving in the same direction. What is the speed of the faster train (in km/hr)?Solution
Solve: ∫[(x4 – 2x3 + x2 – 2x)/(x-2)] dx
If log₁₀(x² − 1) = log₁₀(4x − 3), find x.
A pipe can fill a tank in 10 hours, while another pipe can empty it in 15 hours. If both pipes are opened simultaneously, in how many hours will the tan...
If (a + b) = 8 and ab = 10, then find the value of (a2 + b2).
Two pipes can fill a tank in 10 hours and 12 hours, respectively, while a third pipe can empty it in 20 hours. If all the three pipes are opened simulta...
A and B can complete a work in 12 days and 15 days respectively. If they work together for 4 days and then B leaves, in how many days can A complete the...
A can complete a piece of work in 12 days, B in 18 days, and C in 36 days. They all work together for a few days, after which A leaves. B and C continue...
Three colleagues, M, N, and O, have an average age of 27. Ten years ago, their ages were in the ratio of 4:6:7. What is the average age of M and N today?
A cylindrical water tank has a height of 12 meters and a radius of 3 meters. How many liters of water can the tank hold? (Use π = 3.14 and 1 cubic mete...
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