Given: Total distance travelled is 75 km Fare of taxi is Rs. 12 per km Fare of bus is Rs. 8 per km Calculations: Let the distance travelled by bus be y Remaining distance travelled by taxi is (75 - y) According to the question, we have ⇒ (75 - y)12 + 8y = 760 ⇒ 900 - 12y + 8y = 760. ⇒ -12y + 8y = 760 - 900 ⇒ -4y = -140 ⇒ y=
140
4
⇒ y = 35 km ∴ The distance travelled by bus is 35 km.