Question

Greg traveled from his home to work at an average rate of 25km/hr. By traveling 50km/hr, he took 30 minutes less to return home. How far in kilometers is his work from home?

Answer 1

HELLO mate here is your answer;

$25 \times( 30 - x) = 50x \\ 25 \times 30 - 25x = 50x \\ 750 - 25x = 50 x \\ 750 = 50x - 25x \\ x = \frac{750}{75} = 10$

.°. the distance between from his work place to his house = 10km.

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Answer 2

His work is 1 km from his home.

Step-by-step explanation:

Let x be the total time taken to travel the total distance

Speed = 25 km/hr

Distance = $Speed \times time = 25 x$

We are given that . By traveling 50km/hr, he took 30 minutes less to return home.

Time = $x-\frac{30}{60}$

Speed = 50 km/hr

$Distance = Speed \times time = 50 \times (x-\frac{30}{60})$

Since Distance will remain same

So,$25x=50(x-\frac{30}{60})$

25x=50x-25

x=1

Hence his work is 1 km from his home.

#Learn more

A man travels from his home to market with a speed of 40km/hr and comes back with a speed of 50km/hr. calculate the average speed and average velocity.

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