bob leaves school and starts walking home at a speed of 3 mph. At the same time, his sister bikes to school at a speed of 12 mph. they meet in ten minutes. how far from school is their home?
They approach each other at 15 mph.
10 min = 1/6 hour
15 miles / hour * (1/6) hour = (15 /6 ) miles
2.5 miles is when they approach each other.
they approach each other at 15/6 miles.
Correct! Since they approached each other at a combined speed of 15 mph and met after 10 minutes (1/6 of an hour), the distance between them when they met would be:
Distance = Speed x Time
Distance = 15 mph x 1/6 hour
Distance = 2.5 miles
So, their home is 2.5 miles away from school.
To find the distance from school to their home, we can use the formula: Distance = Speed x Time.
Let's start with Bob's calculations:
Bob's speed is 3 mph, and the time he traveled is given as 10 minutes. However, it's important to note that we need to convert the time to hours since Bob's speed is given in mph. There are 60 minutes in an hour, so 10 minutes is equal to 10/60 = 1/6 (or 0.1667) hours.
Now, we can calculate the distance Bob traveled:
Distance = Speed x Time
Distance = 3 mph x 1/6 hrs
Distance = 3/6 miles
Distance = 0.5 miles
Next, let's calculate his sister's distance:
His sister's speed is 12 mph, and since they meet in 10 minutes (or 1/6 hours), her distance is the same as Bob's.
So, the distance from school to their home is 0.5 miles.