Question

A rabbit has to cover 15 3/4 m to fetch its food. If it covers 2 1/ 4 m in one jump, then how many jumps will it take to fetch its food?​

Answer 1

Given,

• $\sf{Total \ distance \ to \ be \ covered= 15 \dfrac{3}{4} \ m }$

• $\sf{Distance \ covered \ in \ one \ jump = 2 \dfrac{1}{4} \ m }$

$\boxed{\sf{Number \ of \ jumps=Total \ distance +Distance \ in \ one \ jump\ }}$

$\sf{\implies Total \ jumps=15\dfrac{3}{4}+2\dfrac{1}{4}}$

$\sf{\implies Total \ jumps=\dfrac{15\times4+3}{4}+\dfrac{2\times4+1}{4}}$

$\sf{\implies Total \ jumps=\dfrac{60+3}{4}+\dfrac{8+1}{4}}$

$\sf{\implies Total \ jumps=\dfrac{63}{4}+\dfrac{9}{4}}$

$\sf{\implies Total \ jumps=\dfrac{63+9}{4}}$

$\sf{\implies Total \ jumps=\dfrac{72}{4}}$

$\sf{\implies Total \ jumps=18}$

$\huge{\boxed{\sf{\therefore Total \ jumps=18}}}$