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?
+9519 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:
\(\dfrac x{70} = t + \dfrac1{60}\\ \dfrac{x}{75} = t - \dfrac1{60}\)
Subtracting, we have \(\dfrac{x}{1050} = \dfrac1{30}\) so \(x = 35\).
His route to work is 35 km long.
