theorems
☼ Arithmetic Progression ( A.P.) : The progression of the form a, a + d, a + 2d, a + 3d, . . . is known as an A.P. ( Arithmetic Progression or Arithmetic Sequence )…
(9) If two pipes function simultaneously, the reservoir will be filled in 18 hours. One pipe fills the reservoir 15 hours faster than the other. How many hours does it take the second pipe to fill the reservoir ?
Soln. Let the re…
(5) A cistern has two taps which fill it in 10 minutes and 15 minutes respectively. There is also a waste pipe in the cistern. When all the three are opened, the empty cistern is full in 30 minutes. How long will the waste pipe take t…
(1) A can build a wall in 40 days, which B alone can build in 50 days. If they build it together and get a payment of Rs. 1125, what is B’s share ?
Solution.
Ratio of their Days = 40 : 50 =…
☼ Pipes ( may be inlet or may be outlet ) & Cisterns ( or tank or reservoir ) : If a pipe can fill a tank in x hrs. and another pipe can empty the full tank in y hrs ( where y > x ), then on opening both the pipes, the net […]
(5) If the wages of 12 men for 10 days be Rs. 2500, then find the wages of 15 men for 18 days.
Soln. M1 = 12 men, D1 = 10 days, W1 = Rs. 2500,
M2 = 15 men, D2 …