Question

WORTH 100 POINTS

A plane is racing a helicopter to a runway traveling 31 mph and it tends to burn 5 gallons of gas ever 3 minutes. Whilst the helicopter is traveling at a speed of 45 mph burning 7 gallons of gas every 5 minutes. They both started with the same amount of fuel (80 gallons) and both have the same amount to travel ( 640 miles) Who will make it first using the less amount of fuel?
Does this problem work?
If so what is the answer?
Show your work please

Answer 1

The problem does not work.

Explanation:

The plane with speed of 31 mph will cover 640 miles in
`(640)/(31) = 20.64` hours.

Now, it burns 5 gallons of gas every 3 minutes i.e. 0.05 hours.

So, it will burn in 20.64 hours
`(5 * 20.64)/(0.05) = 2064` gallons.

Now, the helicopter with speed of 45 mph will cover 640 miles in
`(640)/(45) = 14.22` hours.

Now, it burns 7 gallons of gas every 5 minutes i.e. 0.083 hours.

So, it will burn in 14.22 hours
`(7 * 14.22)/(0.083) = 1194.48` gallons.

But both of them starts with only 80 gallons of fuel.

Therefore, the problem does not work. (Answer)