English

Write whether the following statement vary directly, vary inversely with each other, or neither of the two. The time taken by a train to cover a fixed distance and the speed of the train. - Mathematics

Advertisements
Advertisements

Question

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

The time taken by a train to cover a fixed distance and the speed of the train.

Sum

Solution

The time taken by a train to cover a fixed distance and the speed of the train are inversely proportional.

E.g. Let a train cover 100 km in 1 h with speed 100 km/h.

Then, the same train cover 100 km in 30 min with speed 200 km/h.

shaalaa.com
  Is there an error in this question or solution?
Chapter 10: Direct and Inverse Proportions - Exercise [Page 321]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 8
Chapter 10 Direct and Inverse Proportions
Exercise | Q 60. (i) | Page 321

Video TutorialsVIEW ALL [1]

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 ... ... ... ... ...

Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table:

Number of spokes 4 6 8 10 12
Angle between a pair
of consecutive spokes
90° 60° ... ... ...
  1. Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion?
  2. Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes.
  3. How many spokes would be needed if the angle between a pair of consecutive spokes is 40°?

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?


A printer, prints a book of 300 pages at the rate of 30 pages per minute. Then, how long will it take to print the same book if the speed of the printer is 25 pages per minute?


Length of a side of an equilateral triangle and its perimeter vary inversely with each other.


If a tree 24 m high casts a shadow of 15 m, then the height of a pole that casts a shadow of 6 m under similar conditions is 9.6 m.


If x varies inversely as y and x = 20 when y = 600, find y when x = 400.


If a deposit of Rs 2,000 earns an interest of Rs 500 in 3 years, how much interest would a deposit of Rs 36,000 earn in 3 years with the same rate of simple interest?


If a and b vary inversely to other, then find the values of p, q, r ; x, y, z and l, m, n.

a 2 y 6 10
b x 12.5 15 z

Two persons could fit new windows in house in 3 days.

How many persons would be needed to fit the windows in one day?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×