Question

The daily wages of A and B respectively are Rs. 3.50
and Rs. 2.50. When A finishes a certain work, he gets
a total wage of Rs. 63. When B does the same work,
he gets a total wage Rs. 75. If both of them do it
together what is the cost of the work?​

Answer 1

Given:-

•The daily wages of A and B are 3.50 rupees and 2.50 rupees.

•When A finished a certain work he gets 63 rupees.

•When B finished a certain work he gets 75 rupees.

To Find:-

•Cost of the work when they both works together.

Solution:-

Using Formula:

$\: \: \sf \: time \: taken = \frac{total \: wages}{one \: day \: wage}$

Now put on formula and find the cost of the work

time taken by A = 63/3.50 = 18 days

time taken by B = 75/2.50 = 30 days.

time taken by A and B together to do the work

$\: \: \sf \: \frac{a \times b}{a + b}$

Now put values here

$\: \: \sf \: \frac{18 \times 30}{48} \\ \\ \: \: \sf \: = \frac{45}{4} days \\ \\ \: \: \sf \: total \: wages = \frac{45}{4} \times (3.50 + 2.50) \\ \\ \: \: \sf \: = \frac{45}{4} \times 6 = 67.50 \: rupees$

Hence,total wages when they both work together is 67.50 rupees.

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