The table given below shows the distances, in kilometres, between four villages of a state. To find the distance between two villages, locate the square where the row for one village and the column for the other village intersect.
Sonapur Ramgarh Himgaon Rawalpur
Sonapur - 40 2/3 100 5/6 16 1/2
Ramgarh 40 2/3 - 210 3/8 16 2/3
Himgaon 100 5/6 210 3/8 - 98 3/4
Rawalpur 16 1/2 16 2/3 98 3/4 -
(a) Compare the distance between Himgaon and Rawalpur to Sonapur and Ramgarh
(b) If you drove from Himgaon to Sonapur and then from Sonapur to Rawalpur, how far would you drive?

Solution:

(a) Compare the distance between Himgaon and Rawalpur to Sonapur and Ramgarh?

Distance between Himgaon and Rawalpur is 98 3/4 = 395/4km=98.75km

Distance between Sonapur and Ramgarh is 40 2/3 = 122/3km=40.66km

By comparing, we can say that the distance between Himgaon and Rawalpur is greater than the distance between Sonapur and Ramgarh

(b) If you drove from Himgaon to Sonapur and then from Sonapur to Rawalpur, how far would you drive?

We need to calculate total distancefrom Himgaon to Sonapur and then from Sonapur to Rawalpur

Distancefrom Himgaon to Sonapur= 100 5/6

Distance from Sonapur to Rawalpur =16 1/2

Total distance = 100 5/6 + 16 1/2 = 605/6+33/2=100.83+16.5=117.33km

✦ Try This: The table given below shows the distances, in kilometres, between four villages of a state. To find the distance between two villages,locate the square where the row for one village and the column for the other village intersect.

(a) Compare the distance between Himgaon and Rawalpur to Sonapur and Ramgarh?

(b) If you drove from Himgaon to Sonapur and then from Sonapur to Rawalpur, how far would you drive?

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 1

NCERT Exemplar Class 8 Maths Chapter 1 Problem 145

The table given below shows the distances, in kilometres, between four villages of a state. To find the distance between two villages, locate the square where the row for one village and the column for the other village intersect. Sonapur Ramgarh Himgaon Rawalpur Sonapur - 40 2/3 100 5/6 16 1/2 Ramgarh 40 2/3 - 210 3/8 16 2/3 Himgaon 100 5/6 210 3/8 - 98 3/4 Rawalpur 16 1/2 16 2/3 98 3/4 - (a) Compare the distance between Himgaon and Rawalpur to Sonapur and Ramgarh, (b) If you drove from Himgaon to Sonapur and then from Sonapur to Rawalpur, how far would you drive

Summary:

The table given below shows the distances, in kilometres, between four villages of a state. To find the distance between two villages,locate the square where the row for one village and the column for the other village intersect. (a) The distance between Himgaon and Rawalpur is greater than the distance between Sonapur and Ramgarh, (b) If you drove from Himgaon to Sonapur and then from Sonapur to Rawalpur, then it is 117 1/6 km

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