two people, john and mary, are 200 miles apart and leave at the same time to meet. They are driving toward each other at constant rate on the same straight road. John is traveling at 45 mph and Mary is traveling at 35 mph. When they meet, how many miles will they be from john's house?
J--------200 miles--------M 35 mph
45mph
Let X = distance traveled by John.
Then 200-X = distance traveled by Mary.
distance = rate x time.
time for John = X/45
time for Mary = (200-X)/35
Set time = time so
(X/45) = (200-X)/35
Solve for X and 200-X.
112.5miles
John and Amy are in their car and start 200 miles apart on the road, driving toward each other. They set off at the same time and both are driving at constant speed until they meet. John driving 40 miles per hour and Amy driving at 60 miles per hour.
How long would It take for John and Amy to meet?
What distance would have John travelled when he meets Amy?
To find the distance from John's house when they meet, we need to determine how long it will take for them to meet.
Since they are traveling toward each other, their combined speed is their individual speeds added together: 45 mph + 35 mph = 80 mph.
The formula to calculate time is distance divided by speed: time = distance / speed.
In this case, the total distance they need to cover to meet is 200 miles, and their combined speed is 80 mph. Thus, the time it will take for them to meet is:
time = 200 miles / 80 mph = 2.5 hours.
Now that we know it will take them 2.5 hours to meet, we can determine the distance from John's house when they meet.
Since John is traveling at a speed of 45 mph, we can multiply his speed by the time it will take for them to meet:
distance from John's house = speed x time = 45 mph x 2.5 hours = 112.5 miles.
Therefore, when John and Mary meet, they will be approximately 112.5 miles from John's house.