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a plane take 5/3 hours to cover a distance flying at 340 km per hour.find the time taken if the speed is increased to 850 km per hour


Sagot :

Answer: 2/3 hours

Step-by-step explanation:

okay so the speed now is 850, which is   850/340  = 2.5 times the original speed

Since It's 2.5 times the original speed,

2.5x = 5/3

so x = 5/3/2.5 = 2/3

Answer:

2/3 of an hour

Step-by-step explanation:

Here is the information that the question gives us.

A plane covers a distance in 5/3 of an hour at 340 km per hour. How long would it take for a plane to cover the same distance while traveling at 850 km per hour?

Remember, distance = speed * time. Using that formula, we can find the distance with this equation:

distance = 340 * 5/3

Multiply.

distance = 1700/3 km

Then, we can plug this distance in to find the time it would take for a plane going at 850 km/hour.

distance = speed * time

1700/3 = 850 * time

Divide both sides by 850

(1700/850) / 3 = time

time = 2/3 hour

Thus, the answer is 2/3 of an hour.

Just in case, let's check the answer. Because both the planes travel the same distance, then their speeds * time should both equal "distance". In other words, they should be equal.

340 * 5/3 = 2/3 * 850

Simplify.

1700/3 = 1700/3

So, the answer is correct.

I hope this helps! Feel free to ask any questions!