Two taps X and Y can fill a tank in 10 hrs. and 15 hours respectively. If the both taps are opened together, the tank will be full in?

Correct answer

6 hours

Explanation

Explanation Tap X can fill the tank in 10 hours, which means it fills 1/10 of the tank per hour. Tap Y can fill the tank in 15 hours, which means it fills 1/15 of the tank per hour. When both taps are opened together, their combined rate of filling the tank is the sum of their individual rates: (1/10 + 1/15) of the tank per hour To add these fractions, we need a common denominator, which is 30. So we get: (3/30 + 2/30) = 5/30 = 1/6 of the tank per hour Since they fill 1/6 of the tank per hour together , they will fill the entire tank in 6 hours.