Advertisements
Advertisements
Question
Anupama takes 125 minutes in walking a distance of 100 metre. What distance would she cover in 315 minutes?
Advertisements
Solution
Let the distance travelled in 315 minutes be x km.
| Time (in minute) | 125 | 315 |
| Distance(in metre) | 100 | x |
\[\text{ If the distance travelled is more, the time needed to cover it will also be more . } \]
\[\text{ Therefore, it is a direct variation } . \]
\[\text{ We get: } \]
\[125: 315 = 100: x\]
\[ \Rightarrow \frac{125}{315} = \frac{100}{x}\]
\[\text{ Applying cross muliplication, we get: } \]
\[x = \frac{100 \times 315}{125}\]
\[ = 252\]
\[\text{ Thus, Anupama would cover 252 metre in 315 minutes } .\]
RELATED QUESTIONS
Fill in the blank in of the following so as to make the statement true:
x and y are said to vary directly with each other if for some positive number k ....,...... = k.
68 boxes of a certain commodity require a shelf-length of 13.6 m. How many boxes of the same commodity would occupy a shelf length of 20.4 m?
If two quantities x and y vary directly with each other, then ______
A car is travelling 48 km in one hour. The distance travelled by the car in 12 minutes is ______.
If x and y are in direct proportion, then (x – 1) and (y – 1) are also in direct proportion.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
Sales Tax and the amount of the bill.
From the following table, determine if x and y are in direct proportion or not.
| x | 4 | 7 | 10 | 16 |
| y | 24 | 42 | 60 | 96 |
If 25 metres of cloth costs Rs 337.50, then what will be the length of the cloth bought for Rs 810?
The cost of 27 kg of iron is Rs 1,080, what will be the cost of 120 kg of iron of the same quality?
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 C | Mixture D |
 |
 |
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?
