Question

when Dallas committed to work one morning his average speed was 45 mph. On the return trip he average only 35 mph. Due to congestion on the highway if the total traveling time for the round-trip is 50 minutes 5/6 of an hour find the distance between Dallas‘s workplace and home

Answer 1

The required distance is 16.40 km.

This problem can be solved if we know the concept of speed, time and distance.

We know the speed=$\frac{distance}{time}$

To solve the problem let us assume that the total distance between the workplace and home is x km.

Given that his speed while going from home to work is 45 mph and while returning is 35 mph.

Time for the complete journey is $\frac{5}{6}hr$.

Now according to question;

   $\frac{x}{45}+\frac{x}{35}=\frac{5}{6}$

⇒$\frac{7x+9x}{315}=\frac{5}{6}$

⇒$16x=\frac{5*315}{6}$

⇒ $x=\frac{5*315}{6*16}$

∴ $x=16.40\ km$

So, the required distance is 16.40 km.

To learn more about speed, distance and time visit the link:

brainly.com/question/15256256

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