Question

3.

An executive jet cruises at 700. km/hr. If the winds are light, it consumes fuel at a rate of 38 L/min. If the jet's
fuel tanks contain 6840 L when full, what is its maximum range?

Answer 1

2100 km

Step-by-step explanation:

The question asks for the maximum range of an executive jet that cruises at a speed of 700 km/hr and consumes fuel at a rate of 38 L/min when its fuel tanks are full with 6840 L of fuel. To find this, we will calculate the total time the jet can fly before running out of fuel, and then use that time to determine the maximum distance the jet can travel.

Given:

• Cruising speed, v = 700 km/hr
• Total tank capacity, C = 6840 L
• Fuel consumption rate, r = 38 L/min

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Calculate the Total Flight Time
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`\text{Total Flight Time ($t$, in minutes)}=\frac{\text{Total Fuel} \ (C)}{\text{Fuel Consumption Rate} \ (r)}\\\\\\\\\Longrightarrow t = (6840 \ L)/(38 \ L/min) \\\\\\\\\therefore t = 180 \ min = 3 \ hr`

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Calculate the Maximum Range
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`\text{Maximum Range ($s$, in km)} = \text{Cruising Speed ($v$)}* \text{Total Flight Time ($t$)}\\\\\\\\\Longrightarrow s = (700 \ km/hr)(3 \ hr)\\\\\\\\\therefore \boxed{s = 2100 \ km}`

The maximum range of the jet is 2100 km.