Cliff filled up his truck's gas tank before leaving for a trip to Edmonton, AB. His trucks's gas tank holds 90 L of gas when full. He knows that if he drives at a fairly constant speed, his truck uses about 3.84 L of gas for every 30 km of driving.
How many litres of gas will be left in the tank when Cliff completes his 460 km drive to his destination? Explain answer
To determine how much gas will be used during the 460 km drive, we first need to calculate how many liters of gas Cliff's truck is expected to consume for that distance.
Given that his truck uses 3.84 L of gas for every 30 km of driving, we can set up a proportion:
3.84 L / 30 km = x L / 460 km
Cross multiplying, we get:
30 * x = 3.84 * 460
30x = 1766.4
x = 1766.4 / 30
x = 58.88 L
So, Cliff's truck is expected to use 58.88 L of gas during the 460 km drive.
Since he started with a full tank of 90 L, we can now calculate how many liters of gas will be left when he reaches his destination:
90 L - 58.88 L = 31.12 L
Therefore, there will be approximately 31.12 liters of gas left in the tank when Cliff completes his 460 km drive to Edmonton.