Raj 's office is 2x km away from his home.He covers half of the distance by bus at a speed of 80km/hr and the rest by auto rickshaw at speed of 70km/hr.If the time taken to reach the office is 3hrs,find the distance between raj 's office and his house

time = distance / speed, so add the times

x/80 + x/70 = 3
150x/5600 = 3
x = 112

so, the distance is 2*112 = 224 km

That's some commute!