Advertisements
Advertisements
Question
One tap can fill a cistern in 3 hours and the waste pipe can empty the full cistern in 5 hours. In what time will the empty cistern be full, if the tap and the waste pipe are kept open together?
Advertisements
Solution
One tap can fill a cistern in = 3 hours
A waste pipe can empty a cistern in = 5 hours
∴ One tap 1-hour work =`1/3`
Waste pipe 1-hour work =`1/5`
∴ One tap and waste pipe together 1-hour work
`=1/3-1/5=(5-3)/15`
`=2/15`
∴ The empty cistern will be full in =`15/2` hours
`=7 1/2` hours
APPEARS IN
RELATED QUESTIONS
`3/5` quintal of wheat costs Rs.210. Find the cost of :
(i) 1 quintal of wheat
(ii) 0.4 quintal of wheat
4 men or 6 women earn Rs. 360 in one day. Find, how much will:
(i) a man earn in one day?
(ii) a woman earn in one day?
(iii) 6 men and 4 women earn in one day?
16 boys went to the canteen to have tea and snacks together. The bill amounted to Rs. 114.40. What will be the contribution of a boy who pays for himself and 5 others?
Eight oranges can be bought for Rs. 10.40. How many more can be bought for Rs.16.90?
A motorbike travels 330 km in 5 litres of petrol. How much distance will it cover in 2.5 litres of petrol?
If the cost of 8 cans of juice is ₹ 280, then what will be the cost of 6 cans of juice?
A motorbike travels 425 km in 5 hours. How much distance will be covered by it in 3.2 hours?
A car covers a distance of 180 km in 5 hours. How much distance will the car cover in 3 hours with the same speed?
Cost of 10 kg of wheat is ₹ 180. What is the cost of 18 kg of wheat?
A loaded truck travels 18 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours?
