Question

A stamping machine can stamp 40 envelopes in 8 minutes.How many of stamping machines,working at the same time are require to stamp 120 envelopes per minute?

Answer 1

Answer:

To stamp 120 envelopes in one minute, 24 machines are required.

Step-by-step explanation:

Given:

A stamping machine can stamp = 40 envelopes in 8 minutes

To find:

Stamping machines,working at the same time are require to stamp 120 envelopes per minute.

Solution :

Envelopes stamped in 1 minute =

$\sf{\longrightarrow} \: \dfrac{40}{8}$

$\sf{\longrightarrow} \:5$

5 envelopes are stamped in 1 minute.

Envelopes to be stamped in 1 minute = 120

Number of machines required =

$\sf{\longrightarrow} \: \dfrac{120}{5}$

$\sf{\longrightarrow} \:24$

Machines required = 24

Therefore, to stamp 120 envelopes in one minute, 24 machines are required.

Answer 2

Given :-

A stamping machine can stamp 40 envelopes in 8 minutes.

To Find :-

How many stamping machines, working at the same time are required to stamp 120 envelopes per minute?

Solution :-

Stamping machine can stamp 40 envelopes in 8 minutes

Stamping machine can stamp 40/8 envelope in 1 minute

Stamping machine required = 120/(40/8)

Stamping machine required = 120/1 × 8/40

Stamping machine required = 3 × 8

Stamping machine required = 24 machine

Hence,

24 machines are required.