Question

49 pumps can empty a reservoir in 61/2 days, working 8 hours a day. If 196 pumps are used for 5 hours a day, then the same work will be completed in how many days? (

Answer 1

let x be the total no of working days
then,
61/2*8= 4*5*x
244hr = 20x
x =61/5days

Answer 2

Answer:

2.6 days

Step-by-step explanation:

Given : 49 pumps can empty a reservoir in$6\frac{1}{2}$ days, working 8 hours a day.

To Find :  If 196 pumps are used for 5 hours a day, then the same work will be completed in how many days?

Solution:

Let x be the number of days in which the work will be completed .

Since we are given that 49 pumps can empty a reservoir in$6\frac{1}{2}$ days, working 8 hours a day.

So, ATQ

$49 \times 6\frac{1}{2} \times 8 = 196 \times x \times 5$

$49 \times \frac{13}{2} \times 8 = 196 \times x \times 5$

$\frac{49 \times \frac{13}{2} \times 8}{196\times 5} =x$

$2.6=x$

Hence If 196 pumps are used for 5 hours a day, then the same work will be completed in 2.6 days