Advertisements
Advertisements
Question
The work done by (x – 3) men in (2x + 1) days and the work done by (2x + 1) men in (x + 4) days are in the ratio of 3: 10. Find the value of x.
Advertisements
Solution
(x - 3) men do a work in (2x + 1) day
∴ 1 man does it in (2x + 1) (x - 3) days
(2x + 1) men do a work in (x + 4) days
∴ 1 man does it in (x + 4) (2x + 1) days
∴ `((2x + 1) (x - 3))/((x + 4) (2x + 1)) = (3)/(10)`
`(x - 3)/(x + 4) = (3)/(10)`
10x - 30 = 3x + 12
10 -3x = 12 + 30
7x = 42
x = `(42)/(7)`
x = 6.
APPEARS IN
RELATED QUESTIONS
Find the ratio of 5 m to 10 km.
If (p – x) : (q – x) be the duplicate ratio of p : q then show that : `1/p + 1/q = 1/x`.
Express the following ratios in its simplest form :
2.5 : 5
Find the value of x, when 2.5 : 4 = x : 7.5.
Divide 81 into three parts in the ratio 2 : 3 : 4.
Express the following ratio in the simplest form:
480 : 384
Fill in the place holder:
In an army camp, there were provisions for 425 men for 30 days. How long did the provisions last for 375 men?
Find the simplified form of the following ratio.
15 : 20
Distances travelled by Hamid and Akhtar in an hour are 9 km and 12 km. Find the ratio of speed of Hamid to the speed of Akhtar.
