Question
If a tank can be filled by a tap in 14 hours, but due to
an outlet, it actually takes 7 hours longer to fill the tank, find the duration in which the outlet alone would empty the tank?Solution
Let tap ‘A’ fill the tank and tap ‘B’ empty the tank. Taking LCM of 14 and 21 = 42 Efficiency of A = 3 Efficiency of (A – B) = 2 Efficiency of B = 3 – 2 = 1 Tap B will empty the tank = 42/1 = 42 So, tap B will empty the tank in 42 hours.
tan 20˚ x tan 23˚ x tan 67˚ x tan 70˚ = ?
Simplify (cos13°+sin 13°) /(cos13°-sin13°)
The Value of (sin38˚)/(cos52˚) + (cos12˚)/(sin78˚) - 4cos²60˚ is
If 'θ' is an angle less than 120°, what is the value of 'θ' if it satisfies the equation 3cos2θ = 2 + sin2θ.
...If (sin 3A sec 6A = 1) , then what will be the value of cos 6A?
- Find the maximum value of (8sin A + 6cos A).
If secθ + tanθ = 5/2 for an acute angle θ, find sinθ.
Find the Value of Sin⁶`Theta` + Cos⁶`Theta` + 3Sin² `theta` Cos²`Theta`
If tan θ + cot θ = 2 where 0 < θ < 90 ; find the value of tan17 θ + cot19 θ.
Two buildings are 40 meters apart. The height of one building is 20 meters. From the top of the shorter building, the angle of elevation of the top of t...