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An employee may claim Tk. 7 for each kilometer when he travels by taxi and Tk. 6 for each kilometer when he drives his own car. If in one week he claimed Tk. 900 for traveling 135 km, how many kilometers did he travel by taxi?

An employee may claim Tk. 7 for each kilometer when he travels by taxi and Tk. 6 for each kilometer when he drives his own car. If in one week he claimed Tk. 900 for traveling 135 km, how many kilometers did he travel by taxi? Correct Answer 90 km

Let x and y be the respective km's travelled by man via taxi and by his own car.Given x + y = 135 => x = 135- yBut according to the question,7x + 6y = 9007(135-y) + 6y = 900=> 945 - 7y + 6y = 900=> y = 945 - 900= 45=> x = 135 - 45 = 90Therefore, the distance travelled by taxi is 90 km.

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