Question

Work output of a large machine in a factory is 89,000 joules, and it’s input is 102,000 joules. Work output of a similar machine is 92,000 joules, and it’s work input is 104,000 joules. Which machine has a greater efficiency

Answer 1

(89000/102000)×100
=87.25%

(92000/104000)×100
=88.46%

efficiency is (output/input)×100
if u get confused which way input and output should go, remember the smaller value is always output and it's above in the fraction, then only it's possible to get a efficiency lower than 100.

Answer 2

Answer:

The machine with work input of 104,000Joules and work output of 92,000 has the greater efficiency

Explanation:

Efficiency of a machine is the ratio of work done by a machine(work output) to work put in the machine (work input).

Mathematically,

Efficiency = Work output/Work Input ×100

For the machine with work output of 89,000Joules and work input of 102,000Joules, its efficiency will be;

Efficiency = 89,000/102,000×100

Efficiency = 87.5%

Similarly for the other machine with work output of 92,000Joules and work input of 104,000Joules, its efficiency will be;

Efficiency = 92,000/104,000×100

Efficiency = 88.5%

Comparing the efficiency of both machines, the machine with efficiency of 88.5% has greater efficiency.