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?
- 4 hours
- 3 hours
- 6 hours
- 5 hours
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.
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