Question

# There is a park with two triangular jogging tracks. Rahul and his friend Arjun are jogging. The park has a route map which mentioned that the sides of jogging tracks with the same color have the same length and nothing is 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 would finish their jogging at the same time as they are jogging at the same speed.

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