Question

tulika makes 29 pastries in one hour, prachi can make 3 pastries in 10 minutes, and priyanka can make 7 pastries in 20 minute. if all three of them work together, how long will it take for them to bake 204 pastries?

Answer 1

Answer : $\bold{3 \: hours}$


Explanation -

Tulika makes 29 pastries in 60 minutes = 29/60

Prachi makes 3 pastries in 10 minutes = 3/10

Priyanka makes 7 pastries in 20 minutes = 7/20


$\dfrac{29}{60} + \dfrac{3}{10} + \dfrac{7}{20}$


LCM of 60, 10 and 20 is 60


$\dfrac{29 + 18 + 21}{60} = \dfrac{68}{60}$


Given : They all bake 204 pastries


$\dfrac{204 \times 60}{68}$

$\dfrac{12240}{60} = 180$


= 180 minutes.

1 hour = 60 minutes

180 minutes = 180/60 = 3 hours.


Hence :

$\bold{Answer : 3 \: hours}$