An employee may claim Tk. 7.00 for each km when he travels by taxi and Tk. 6.00 for each km if he drives his own car. If in one week he claimed Tk. 595 for traveling 90 km. How many kms did he travel by taxi?

Question: An employee may claim Tk. 7.00 for each km when he travels by taxi and Tk. 6.00 for each km if he drives his own car. If in one week he claimed Tk. 595 for traveling 90 km. How many kms did he travel by taxi?

Solution:
Let x and y be the respective km's travelled by man via taxi and by his own car.
Given x + y = 90
⇒ x = 90 - y
But according to the question,
7x + 6y = 595
⇒ 7(90 - y) + 6y = 595
⇒ 630 - 7y + 6y = 595
⇒ y = 630 - 595
∴ y = 35

∴ x = 90 - 35 = 55

Therefore, the distance travelled by taxi is 55 kms.