Advertisements
Advertisements
Question
A car can finish a certain journey in 10 hours at the speed of 48 km/hr. By how much should its speed be increased so that it may take only 8 hours to cover the same distance?
Advertisements
Solution
Let the increased speed be x km/h.
| Time (in h) | 10 | 8 |
| Speed (km/h) | 48 | x+48 |
\[\text{ Since speed and time taken are in inverse variation, we get: } \]
\[10 \times 48 = 8\left( x + 48 \right)\]
\[ \Rightarrow 480 = 8x + 384\]
\[ \Rightarrow 8x = 480 - 384\]
\[ \Rightarrow 8x = 96\]
\[ = 12\]
\[\text { Thus, the speed should be increased by 12km/h } . \]
APPEARS IN
RELATED QUESTIONS
In a Television game show, the prize money of Rs 1,00,000 is to be divided equally amongst the winners. Complete the following table and find whether the prize money given to an individual winner is directly or inversely proportional to the number of winners?
| Number of winners | 1 | 2 | 4 | 5 | 8 | 10 | 20 |
| Prize for each winner (in Rs) | 1,00,000 | 50,000 | ... | ... | ... | ... | ... |
A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same?
Which of the following quantities vary inversely as other?
The number of x men hired to construct a wall and the time y taken to finish the job.
1200 men can finish a stock of food in 35 days. How many more men should join them so that the same stock may last for 25 days?
If x and y vary inversely as other and y = 35, find x when constant of variation = 7.
In a school there is 7 periods a day each of 45 minutes duration. How long each period is if the school has 9 periods a day assuming the number of hours to be the same?
A flood relief camp has food stock by which 80 people can be benefited for 60 days. After 10 days 20 more people have joined the camp. Calculate the number of days of food shortage due to the addition of 20 more people?
Both x and y are said to vary ______ with each other if for some positive number k, xy = k.
In case of inverse proportion, `a_2/- = b_2/-`
A packet of sweets was distributed among 10 children and each of them received 4 sweets. If it is distributed among 8 children, how many sweets will each child get?
