when Dallas committed to work one morning his average speed was 45 mph. On the return trip he average only 35 mph. Due to conges

Question

2 years ago

15

tion 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

1 answer:

defon · Answer 1 · 2023-08-17T06:11:19+03:00

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:

#SPJ9