English

Rashmi has a road map with a scale of 1 cm representing 18 km. She drives on a road for 72 km. What would be her distance covered in the map?

Advertisements
Advertisements

Question

Rashmi has a road map with a scale of 1 cm representing 18 km. She drives on a road for 72 km. What would be her distance covered in the map?

Sum
Advertisements

Solution

Let the distance represented on the map be x cm.

The given information, in the form of a table, is as follows:

Distance covered on road in (in km) 18 72
Distance represented on map (in cm) 1 x

The distances covered on the road and represented on the map are directly proportional to each other. Therefore, we obtain

`18/1 = 72/x`

=> `x = 72/18`

=> x = 4

Hence, the distance represented on the map is 4 cm.

shaalaa.com
  Is there an error in this question or solution?

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Complite the following table given that x varies directly as y .

x 5 ... 10 35 25 ...
y 8 12 ... ... ... 32

A, B and C working together can do a piece of work in 8 hours. A alone can do it in 20 hours and B alone can do it in 24 hours. In how many hours will C alone do the same work?


Neha types 75 pages in 14 hours. How many pages will she type in 20 hours?

 

A cistern has two inlets A and B which can fill it in 12 hours and 15 hours respectively. An outlet can empty the full cistern in 10 hours. If all the three pipes are opened together in the empty cistern, how much time will they take to fill the cistern completely?


The cost of 12 quintals of soyabean is 36,000 rupees. How much will 8 quintals cost?


Write whether the following statement vary directly, vary inversely with each other, or neither of the two.

Area of land and its cost.


The mass of an aluminum rod varies directly with its length. If a 16 cm long rod has a mass of 192 g, find the length of the rod whose mass is 105 g.


Campus and Welfare Committee of school is planning to develop a blue shade for painting the entire school building. For this purpose various shades are tried by mixing containers of blue paint and white paint. In the following mixtures, decide which is a lighter shade of blue and also find the lightest blue shade among all of them.

Mixture A Mixture B

If one container has one litre paint and the building requires 105 litres for painting, how many container of each type is required to paint the building by darkest blue shade?


Match each of the entries in Column I with the appropriate entry in Column II

Column I Column II
1. x and y vary inversely to each other A. `x/y` = Constant
2. Mathematical representation of
inverse variation of quantities p and q
B. y will increase in proportion
3. Mathematical representation of
direct variation of quantities m and n
C. xy = Constant
4. When x = 5, y = 2.5 and when y = 5, x = 10 D. `p  oo  1/q`
5. When x = 10, y = 5 and when x = 20, y = 2.5 E. y will decrease in proportion
6. x and y vary directly with each other F. x and y are directly proportional
7. If x and y vary inversely then on decreasing x G. `m  oo  n`
8. If x and y vary directly then on decreasing x H. x and y vary inversely
  I. `p  oo  q`
  J. `m  oo  1/n`

A bowler throws a cricket ball at a speed of 120 km/h. How long does this ball take to travel a distance of 20 metres to reach the batsman?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×