Question
Sonia and Riya decided to complete a piece of work
together. Sonia is capable of doing 9 units of work per day, whereas Riya can finish the complete task alone in 18 days. If the total work amounts to 108 units, how many days will they take working together?Solution
ATQ,
Let, the time taken by Sonia and Riya to do the work be ‘x’ days.
Units of work done by Riya in a day = 108 / 18 = 6 units
So, 108 / x = 9 + 6 = 15
108 = 15x
x = 108 / 15 or (36/5)
Simplify: sin 780° sin 480° + cos 120° sin 30°
If cos θ + sin θ = m, sec θ + cosec θ = n then n(m 2 – 1) is equal to?
The Value of (sin38Ëš)/(cos52Ëš) + (cos12Ëš)/(sin78Ëš) - 4cos²60Ëš is
If cos θ + sec θ = √2, then the value of cos³ θ+ sec³ θ is:
 If sin θ = 3/5 and cos θ = 4/5, find the value of (2tan² θ + 3cot² θ).
The angles of elevation of the top of a flagpole from two points A and B on level ground are 30° and 60° respectively. The points A and B are on the s...
- If cos θ = (4x² – 1)/(1 + 4x²) then find the value of sin q.
If sin A = 3/5 and cos B = 4/5, where A and B are acute angles, find the value of sin(A + B).
If cos2B = sin(2B - 30°), then find the measure of 'B'.