Question

Your school is 600 meters away from your home. Your walking speed is 200 meters per minutes. One day you set out from your home and walk to school. After a few minutes, you are 100 meters away from your school. Which of the following equations represents the minutes, m, you have walked?
a. 600 + 200m = 100
b. 600 – 200m =100
c. 600/200m = 100
d. 200/600m = 100

Answer 1

Option B

The equation that represent the minutes you have walked is 600 - 200m = 100

Solution:

Given that Your school is 600 meters away from your home

Your walking speed is 200 meters per minutes

Therefore,

total distance between school and home = 600 meters

walking speed = 200 meters per minute

Let "m" be the number of minutes you walked

One day you set out from your home and walk to school

After a few minutes, you are 100 meters away from your school

Therefore, remaining distance to be covered = 100 meters

If "m" represents the number of minutes walked, then distance covered in "m" minutes is given as,

distance = speed x time

distance = 200 x m = 200m

So in the total distance of 600 meters, he has covered 200m and remaining distance is 100 meters

From the above statement we can frame a equation as,

total distance - already covered distance = remaining distance

600 - 200m = 100

Thus option B is correct