Question

2. Tanu can do a piece of work in 24 days and Manisha can do it in 30 days. How long will they take to do
the work working together?​

Answer 1

Answer :-

Tanu and Manisha can complete the same work in 13 1/3 days.

Solution :-

Tanu can do a piece of work in 24 days

So Tanu's one day work = 1/24

Manisha can do the same work in 30 days

So Manisha's one day work = 1/30

We know that

Tanu and Manisha's one day work = Tanu's one day work + Manisha's one day work

= 1/24 + 1/30

Taking LCM

= (5 + 4)/120

= 9/120

= 3/40

Tanu and Manisha's one day work = 3/40

So Tanu and Manisha can complete the same work in (40/3) = 13 1/3 days.

Answer 2

Answer:

${\pink{\green{\sf{\therefore Tanu\:and\:Manish\:Work\:together=\frac{40}{3}days}}}}$

Explanation:

$\huge{\pink{\green{\underline{\red{\sf{SOLUTION-}}}}}}$

• In the given question information given about two person and their time to do work.

• We have to find the days taken by both if they work together.

• So, first we find the work done by both in one day.

• Then add both their work's done in one day.

$\underline \bold{ Given : } \\ \implies Tanu \: can \: do \: a \: work = 24 \: days \\ \implies Manish \: can \: do \: the \: same \: work = 30 \: days \\ \\ \underline \bold{To \: Find :} \\ \implies They \: both \: work \: together \: in \: how \: many \: days$

• According to given question :

$\implies Tanu \: do \: a \: work \: in \: 24 \: days \\ \bold{\implies In \: one \: day = \frac{1}{24} work} - - - - - (1) \\ \\ \implies Manish \: do \:the \: same \: work \: in \: 30 \: days \\ \bold{ \implies In \: one \: day = \frac{1}{30} work} - - - - - (2) \\ \\ \bold{For \: doing \: same \: work\: together \implies} \\ Adding(1)\:and\:(2)\\ \implies \frac{1}{24} + \frac{1}{30} \\ lcm \: of \: 24 \: and \: 30 = 120\\ \implies \frac{5 + 4}{120} \\ \implies \frac{9}{120} \\ \implies \frac{3}{40} \\ \\ \bold{ \therefore Tanu \: and \: Manish \: can \: do }\\ \bold{ the \: piece \: of \: work \: in \: \frac{40}{3} days}$