+0  
 
0
100
1
avatar

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?

 Jun 15, 2020
 #1
avatar+8341 
0

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.

 Jun 15, 2020

33 Online Users