Question

Dinesh went from place A to place B and from there to place C. A is 7.5Km from B and B is 2.7Km from C. Ayub went from place A to place D and from there to place C. D is 9.3Km from A and C is 11.8Km from D. Who travelled more and by how much?

Answer 1

Hint: Here we calculate the distance travelled by each person by adding the distance travelled by them from starting point to the finishing point. Calculate the difference between the distance travelled by Ayub and Dinesh by subtracting the lesser distance from greater distance.

Complete step-by-step answer:
We are given there are 4 points A, B, C and D.
We calculate the distance travelled for each person separately.
Dinesh:
We know Dinesh went from place A to place B and from there to place C. A is 7.5Km from B and B is 2.7Km from C.
Distance between A and B as 7.5Km
Distance between B and C is 2.7Km
Therefore, distance from A to C will be the sum of distance from A to B and distance from B to C.
Total distance between A and C Km
Adding the decimal values we get
Total distance between A and C Km
So, distance travelled by Dinesh is 20.2Km … (1)
Ayub:
We know Ayub went from place A to place D and from there to place C. D is 9.3Km from A and C is 11.8Km from D.
Distance between A and D as 9.3Km
Distance between D and C is 11.8Km
Therefore, distance from A to C will be the sum of distance from A to D and distance from D to C.
Total distance between A and C Km
Adding the decimal values we get
Total distance between A and C Km
So, the distance travelled by Ayub is 21.1Km … (2)
From equations (1) and (2) we can see that
So, the distance travelled by Ayub is greater than distance travelled by Dinesh.
Distance that Ayub travelled more than Dinesh Km
Distance that Ayub travelled more than Dinesh Km

Thus, Ayub travels more distance than Dinesh by 0.9Km.

Note: Students might get confused in the second case of Ayub as he travels from A to D and then D to C, students might think of the point D somewhere after C because of sequence ABCD. Keep in mind we are not given which point lies where, so we cannot assume anything.