a jet speeds 220mmin for 360 min The specifications state t

a jet speeds 220m/min for 360 min . The specifications state that with each additional 10m/min of speen the operating time decreases by 10 min.

what operating speed will allow the jet to cover the greatest distance possible and wuts the maximum distance

The answers are 290 m / min and 84100m

Solution

According to the information given:

The jet can move at 220 m/min for 230 min, so the total distance travelled is 220*360=79200

When the speed is increased by 10m/ min the time of flight decreases by 10 min. So if the jet flies at 230 m/min it can fly for 350 min and cover 230*350= 80500.

Similarly for 240 m/min it covers 240* 340 = 81600

For 250 m/min it covers 250*330 = 82500

For 260 m/min it covers 260*320= 83200

For 270 m/min it covers 270*310= 83700

For 280 m/min it covers 280*300= 84000

For 290 m/min it covers 290*290= 84100

For 300 m/min it covers 300*280= 84000.

Therefore the maximum it can cover is 84100 m at 290 m/min.