Question

A man can do 7/10 parts of a piece of work in 1 day. and his eife can do 9/15 parts of thecsame work in 1 day. Who has better working efficiency ?

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Explanation Needed!

Answer 1

The man's work

A man can do 7 / 10 th work in 1 day

The elite's work

The elite can do 9 / 15 th work in 1 day

Finding the better worker

We need to check whether 7 / 10 > 9 / 15 or not !

Take L.C.M of 10 and 15 .

10 = 2 × 5

15 = 3 × 5

L.C.M = 2 × 3 × 5

          = 30

7 / 10 can be written as    7 × 3 / 10 × 3

                                        = 21 / 30

9 / 15 can be written as    9 × 2 / 15 × 2

                                        = 18 / 30

Obviously 21 / 30 > 18 / 30

Hence : 7 / 10 > 9 / 15

Thus the man can do more work in 1 day

$\textsf{\underline{\underline{\huge{ANSWER}}}}}$

$\bf{\underline{The\:man\:has\:better\:working\:efficiency}}$

Hope it helps :-)

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Answer 2

Man's one daywork =7/10
His wife's 1 day work=9/15
LCM of 10,15=30
7/10=21/30
9/15=18/30
7/10 > 9/15
Therefore ,the man has better working efficiency than his wife