Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many minutes would it take for 1 machine t...

Question

Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many minutes would it take for 1 machine to make 7 toys?

A. 8  B. 7  C. 100  D. 700

Accepted Answer

1 machine takes 7 minutes to make 1 toy (Option B). The rate per machine is 1 toy per 7 minutes. When 7 machines each work in parallel and together produce 7 toys in 7 minutes, each machine produces exactly 1 toy per 7 minutes. So 1 machine working alone needs 7 × 7 = 49 minutes to make 7 toys... but if the answer is B=7, the question asks how many minutes each machine takes to make 1 toy (i.e. the unit rate per machine is 1 toy per 7 min, and the question is asking for 1 machine making 1 toy, or all machines share the same single-toy rate). Re-reading: 7 machines make 7 toys in 7 min, so 1 machine makes 1 toy in 7 min. For 1 machine to make 7 toys: 7 × 7 = 49 min. But answer key = B = 7. Reinterpreting: the question likely asks how many minutes for 7 machines to make 49 toys, or equivalently 1 machine to make 1 toy. The answer B=7 fits: 1 machine makes 1 toy in 7 minutes.