**Time and work practice set 1**

Example 1: Two boy alone or three girl alone can complete a piece of work in 4 days. In how many days can 1 girl and 1 boy together complete the same piece of work ?

Solution :

2Boy = 3Girl

1 Boy = 3/2 girl

1girl + 1 boy

1girl + 3/2 girl

= 5/2 girl

M1D1 = M2D2

3X4 = 5X?/2

? = 24/5

Example 2: Rajan can do a piece of work in 10 days and Rahim can do same work in 15 days. if sujay joins them, who can complete the same work in 30 days, how long will they take to complete the work ?

Solution :

10 x 15 x 30 / 10 x 15 + 10 x 30 + 15 x 30 = 10 x 15 x 30 / 900 = 5 days.

Example 3: 8 boy can complete a piece of work in 20 days. 8 girl can complete the same work in 32 days, how many days will 5 boy and 8 girl together complete the same work ?

Answer:

Required days = 5 / 8×20 + 8 / 32×8 = 2/32 = 16 days

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