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?
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 | 5 |
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.
APPEARS IN
RELATED QUESTIONS
Which of the following quantities vary directly with each other?
(i) Number of articles (x) and their price (y).
(ii) Weight of articles (x) and their cost (y).
(iii) Distance x and time y, speed remaining the same.
(iv) Wages (y) and number of hours (x) of work.
(v) Speed (x) and time (y) (distance covered remaining the same).
(vi) Area of a land (x) and its cost (y).
A can do a piece of work in 40 days and B in 45 days. They work together for 10 days and then B goes away. In how many days will A finish the remaining work?
8 men can do a piece of work in 9 days. In how many days will 6 men do it?
If the weight of 12 sheets of thick paper is 40 grams, how many sheets of the same paper would weigh 2.5 kilograms?
Expenditure of a family to number of members of the family are in direct proportion
Both u and v vary directly with each other. When u is 10, v is 15, which of the following is not a possible pair of corresponding values of u and v?
x and y are said to vary directly with each other if for some positive number k, ______ = k.
If Naresh walks 250 steps to cover a distance of 200 metres, find the distance travelled in 350 steps.
If 25 metres of cloth costs Rs 337.50, then what will be the cost of 40 metres of the same type of cloth?
Shabnam takes 20 minutes to reach her school if she goes at a speed of 6 km/h. If she wants to reach school in 24 minutes, what should be her speed?