Question

Working together, Professors Yin and Jones can restore a statue at the museum in 3.2 months. Professor Yin, working alone, can restore the entire statue in 4.8 months. How long does it take Professor Jones, working alone, to restore the entire statue?

Answer 1

Answer:

Professor Jones time taken  = 1.6 months

Explanation:

Given:

Average time taken = 3.2 months

Professor Yin time taken  = 4.8 months

Professor Jones time taken  = ?

Computation of time taken by Professor Jones to restore the statue:

$Average \ time\ taken = 3.2\ months\\\\\\ \frac{Professor\ Yin\ time\ taken+Professor\ Jones \ time\ taken}{2} = 3.2\ months\\\\ \ Professor \ Yin\ time\ taken+Professor\ Jones \ time\ taken} = 3.2\ months\times2\\\\ \ 4.8 \ months+Professor\ Jones \ time\ taken} = 6.4\ months\\\\Professor\ Jones \ time\ taken} = 6.4\ months - 4.8\ months\\\\Professor\ Jones \ time\ taken} = 1.6\ months$

Professor Jones time taken  = 1.6 months