Question & Answer » Mathematics Questions » Rajesh Commutes Daily By Travelling 4/5 Of The Distance Between His Home And Office By Metro Train, 3/20 By Auto, And Remaining 1 km On Foot. What Is The Distance Between His Home And Office?

Rajesh Commutes Daily By Travelling 4/5 Of The Distance Between His Home And Office By Metro Train, 3/20 By Auto, And Remaining 1 km On Foot. What Is The Distance Between His Home And Office?

Answer: The distance travelled by Rajesh from home to office by metro train = 4/5

The distance travelled by auto = 3/20

The distance travelled on Foot = 1 km

Let x be the total distance from the home to the office

Distance travelled 

x = [(4/5)x + (3/20)x] + 1

x [1 – (4/5) – (3/20)] =1

x (1/20)=1

x = 20 km

Thus, the total distance travelled by Rajesh from home to the office is 20 km.