Question

A rocket consumes 9152 litres of fuel in 16 seconds. If the rate of consumption remains same, the volume of fuel used up in 6 seconds will be

• A. $3432$ litres
• B. $1144$ litres
• C. $1716$ litres
• D. $4004$ litres

Answer 1

The correct option is A $3432$ litres

The rocket consumes $9152$ litres in $16$ seconds.

To find the fuel consumption in $6$ seconds, you have to calculate the fuel burnt in $1$ second.

∴ Fuel burned in $1$ second
$=9152litres÷16$.

The number $9152$ can be in the expanded form as: $9152=9000+100+50+2$.

So, calculating $9152÷16$ using the box method,
Adding all the partial quotients, the final quotient :$500+50+20+2=572$.

Therefore, the fuel burned in $1$ second is $572litres$.

So, the fuel burned in $6$ seconds will be
$572litres\times 6=3432litres$.

∴ Volume of fuel required in $6$ seconds = $3432$ litres.