a supply of water lasts for 150 days if 7.5 liters leaks off every day but only 100 days if 15 liters leak off daily. what is total quantity of water in the supply ?
Answers
Given :
A supply of water lasts for 150 days if 7.5 liters leaks off every day .
A supply of water lasts for 100 days if 15 liters leaks off every day .
To Find :
The Total quantity of water in the supply
Solution :
Case I
A supply of water lasts for 150 days if 7.5 liters leaks off every day .
∵ In 1 day, water leaks off 7.5 liters
∴ In 150 days, water leaks off = 150 × 7.5 = 1125 liters
Case II
A supply of water lasts for 100 days if 15 liters leaks off every day .
∵ In 1 day, water leaks off 15 liters
∴ In 100 days, water leaks off = 100 × 15 = 1500 liters
Now,
Difference = 1500 liters - 1125 liters
= 375 liters
i.e 375 liters last for ( 150 days - 100 days )
Or, 375 liters last for 50 days
Or, 375 liters which was sufficient to last for 50 days
That will give ,
375 × 3 liters which was sufficient to last for 50 × 3 days = 1125 liters + 1500 liters loss
Or, = 1125 liters + 1500 liters
= 2625 liters
Hence, Total quantity of water in the supply is 2625 liters Answer
Answer:
2250
Step-by-step explanation:
(x+7.5)×150 = (x+15)×100
(x+7.5)×3 = (x+15)×2
3x + 22.5 = 2x +30
x= 7.5
put in in any equation
(x+15)×100
(7.5+15)×100
2250 liters