Advertisements
Advertisements
Question
The length of two ropes are in the ratio 7 : 5. Find the length of:
(i) shorter rope, if the longer one is 22.5 m
(ii) longer rope, if the shorter is 9.8 m.
Advertisements
Solution
Length of the ropes are in the ratio = 7 : 5
(i) Let the length of shorter rope = x
Length of longer rope = 22.5 m
A.T.Q.
7 : 5 = 22.5 : x
⇒ 7x = 22.5 × 5
⇒ x = `(22.5xx5)/7`
⇒ x = 16.07 m
(ii) Let length of the longer side = x
Length of shoter rope = 9.8 m
A.T.Q.
7 : 5 = x : 9.8
⇒ 5 × x = 9.8 × 7
⇒ x = `(9.8xx7)/5`
⇒ x = 13.72 m
RELATED QUESTIONS
Calculate the ratio in which the line joining A(−4, 2) and B(3, 6) is divided by point P(x, 3). Also, find
- x
- length of AP.
Find the ratio of the following in the simplest fcrm:
432 and 120
If `"a"/"b" = "c"/"d"`, show that: `(a^3c + ac^3)/(b^3d + bd^3) = ("a" + "c")^4/("b" + "d")^4`
If `x/a = y/b = z/c` show that: `x^3/a^3 + y^3/b^3 + z^3/c^3 = (3xyz)/(abc)`.
If (a – x) : (b – x) be the duplicate ratio of a: b show that:
`(1)/x = (1)/a + (1)/b.`
The income of a man is increased in the ratio of 10 : 11. If the increase in his income is Rs 600 per month, find his new income.
Find the following ratio in the simplest form:
2.4 km to 900 m
Saturn and Jupiter take 9 hours 56 minutes and 10 hours 40 minutes, respectively for one spin on their axes. The ratio of the time taken by Saturn and Jupiter in lowest form is ______.
Samira sells newspapers at Janpath crossing daily. On a particular day, she had 312 newspapers out of which 216 are in English and remaining in Hindi. Find the ratio of the number of English newspapers to the number of Hindi newspapers.
There are 20 girls and 15 boys in a class. What is the ratio of number of girls to the number of boys?
