3. An employee may claim rs. 7.00 for each km when he travels by taxi and rs. 6.00 for each km if he drives his own car. If in one week he claimed rs. 595 for traveling km. How many kms did he travel by taxi?
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Answer:
Let x and y be the respective km's traveled by man via taxi and by his own car.
Given x + y = 90 =
x = 90 - y
also,
7 x + 6 y = 595
7(90-y) + 6 y = 595
=> 630 - 7 y + 6 y = 595
=> y = 630 - 595 = 35
=> x = 90 - 35 = 55
Therefore, the distance traveled by taxi is 55 km.
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