Asked by tate

An intercontinental ballistic missile (ICBM) travels at an average speed of 7.03km/sec. The missile contains 459.0Mg of fuel. The fuel is burned at a rate of 313 pounds per second. What would be the maximum distance (in km) the missile could travel until it ran out of fuel? 1Mg=10^6grams
The possible options: A) 2.27*10^4
B)1.04*10^7km C)459km D)1.31*10^4km
E)989km F)4.98*10^4km I got close to F but am unsure
Answered by Damon
313 pounds * .454 kg/pound = 142 kg
so burns 142 *10^3 grams/second

142*10^3 g/s * t = 459*10^6 g
so
t = (459/142)*10^3 seconds
7.03 km/s * (459/142)*10^3 = distance
= 22.7 *10^3
= 2.27 *10^4 remarkably choice A

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