Question

Fuel was taken from the oil depot for three days. On the second day, 3/2 times more fuel was taken than on the first day and 9/4 times more than on the third day. How many tons of fuel did they deliver on the second day, if they delivered 40 on the first day Tons more fuel than day three?​

Answer 1

On the second day, they delivered 300 tons of fuel.

Step-by-step explanation:

To solve the problem, we need to set up expressions for the amounts of fuel taken on each day based on the given information:

Let the amount of fuel taken on the third day be x tons.

• On the first day, they took x + 40 tons, since it is given that 40 more tons were taken on the first day than on the third.
• On the second day, they took 3/2 times more fuel than the first day, which means 3/2 × (x + 40) tons.
• The second day's amount is also 9/4 times more than the third day's amount, thus 3/2 × (x + 40) = 9/4 × x.

Solving the equation 3/2 × (x + 40) = 9/4 × x, we get:

• 3/2 × (x + 40) = 9/4 × x
• 6/4 × (x + 40) = 9/4 × x
• x = 160 tons (for the third day)

Then, on the first day it is 160 + 40 = 200 tons.

Finally, on the second day, they took 3/2 × 200 = 300 tons.

Therefore, on the second day, they delivered 300 tons of fuel.