Question

# There is a park with two triangular jogging tracks. Rahul and his friend Arjun went for jogging and their jogging is completed after they reach their stating point. The park had a route map which mentioned that the sides of jogging tracks with the same color have the same length and nothing was mentioned about different colored sides. Both of them started jogging at 7 AM on different tracks. Rahul finished his jogging at 7:40 AM. At what time will Arjun finish his jogging if both of them are jogging at the same speed?

A

Before 7:40 AM

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B

After 7:40 AM

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C

7:40 AM

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D

Cannot be determined because the speed with which the friends were jogging was not given

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Solution

## The correct option is C 7:40 AM If you analyze the two triangles, there is one red colored, one blue colored path in both the triangles and the angle included between them is also equal. By SAS congruence criterion, both triangles are congruent. Since congruent triangles have equal perimeters, both Rahul and Arjun finish their jogging at the same time as they are jogging at the same speed.

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