English

A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours? - Mathematics

Advertisements
Advertisements

Question

A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?

Sum
Advertisements

Solution

Let the number of bottles filled by the machine in five hours be x.

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

Number of bottles 840 x
Time taken (in hours) 6

The number of bottles and the time taken to fill these bottles are in direct proportion. Therefore, we obtain

= `840/6 = x/5`

x = `(840 xx 5)/6`

= 700

Thus, 700 bottles will be filled in 5 hours.

shaalaa.com
  Is there an error in this question or solution?
Chapter 13: Direct and Inverse Proportions - Exercise 13.1 [Page 208]

APPEARS IN

NCERT Mathematics [English] Class 8
Chapter 13 Direct and Inverse Proportions
Exercise 13.1 | Q 4 | Page 208

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

In a library 136 copies of a certain book require a shelf-length of 3.4 metre. How many copies of the same book would occupy a shelf-length of 5.1 metres?

 

The amount of extension in an elastic string varies directly as the weight hung on it. If a weight of 150 gm produces an extension of 2.9 cm, then what weight would produce an extension of 17.4 cm?


A cistern can be filled by a tap in 4 hours and emptied by an outlet pipe in 6 hours. How long will it take to fill the cistern if both the tap and the pipe are opened together?


Meenakshee cycles to her school at an average speed of 12 km/h and takes 20 minutes to reach her school. If she wants to reach her school in 12 minutes, her average speed should be ______.


x and y are said to vary directly with each other if for some positive number k, ______ = k.


Two quantities x and y are said to vary directly with each other if for some rational number k, xy = k.


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 E Mixture F

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?


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?


Here is a keyboard of a harmonium: This pattern of keys is repeated on larger keyboard. How many black keys would you expect to find on a keyboard with 14 such patterns.


Many schools have a recommended students-teacher ratio as 35:1. Next year, school expects an increase in enrolment by 280 students. How many new teachers will they have to appoint to maintain the students-teacher ratio?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×