On Monday, Hany drove to work at an average speed of 70 km/h and arrived 1 minute late. On Tuesday, he left at the same time and took the same route. This time he drove at an average speed of 75 km/h and arrived 1 minute early. How long is his route to work?
Let t hours be the time it took for Hany to drive from home to work.
Let x km be the length of his route to work.
We have the following relations according to the information given in the question:
x70=t+160x75=t−160
Subtracting, we have x1050=130 so x=35.
His route to work is 35 km long.