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A thief, after committing a theft, …

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A thief, after committing a theft, runs at a uniform speed of 50 m/minute. After 2 minutes, a policeman runs to catch him. He goes 60 m in first minute and increases his speed by 5m/minute every succeeding minute. After how many minutes, the policeman will catch the thief?

Posted by Aman Sharma 7 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Rahul Sharma 7 years, 11 months ago

Suppose the police man catches the thief after t minutes.

Uniform speed of the thief = 100m/min

∴ Distance covered by thief in (t + 1) minutes = 100 m/min × (t + 1) minutes = 100 (t + 1) m

Distance covered by police man in t minutes

= Sum of t terms of an AP with first term 100 and common difference 10

When the policeman catches the thief, we have

∴ t = 5 ( t cannot be negative)

Thus, the policeman catches the thief after 5 minutes.

0Thank You

Nipun Muluka 7 years, 11 months ago

U R RIGHT!!!

0Thank You

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