Introduction:
Distance word problems, repeatedly entitled as uniform Rate problems, engage something travelling at set and stable speed or as well moving at an average speed. The formulas that used in distance and rate problems are two basic formulas that relate distance, rate and time.
Distance =speed * time
Speed = `(distance) / (time)`
Having problem with Distance Equation keep reading my upcoming posts, i will try to help you.
Distance Rate - Example problems:
Distance Rate - Example: 1
If a bus travelled 540 miles in 4 hours find the speed of the bus
Solution:
Bus travelled distance =540 miles
Total time =4 hours
Already we know the formula
Rate =`(Distance) / (time)`
=`540/4`
=135
Therefore the rate of the bus is 135 miles per hour
Distance Rate - Example 2:
At 11:00am, a bus (1) leaves city "1" at a constant rate of 60 mi/hr toward city "2". At the same time a second bus (2) leaves city "2" toward city "1" at the constant rate of 50 miles/hour. The distance between cities1 and 2 is 220 miles and these cities are connected by a highway used by the two bus. At what time will the two buses cross each other?
Solution:
Distance d1, between city "1" and bus (1), changes with the time t as
d1 = 60t, t = 0 corresponds to 11:00am.
Distance d2, between city "2" and bus (2),
Changes with the time t as
d2 = 220 - 50t
When the bus cross each other d1 = d2
60t = 220 - 50t
110t = 220
t = 2 hours
The two buses cross each other at
11:00am + 2hours = 13:00pm
Distance Rate - Example: 3
Two buses started from the same point, at 5 am, traveling in opposite directions at 40 and 50 mph respectively. At what time will they be 450 miles apart?
Solution:
After t hours the distances D2 and D1, in miles per hour, traveled by the two bus are given by
D1 = 40 t and D2 = 50 t
After t hours the distance D separating the two bus is given by
D = D1 + D2 = 40 t + 50 t = 90 t
Distance D will be equal to 450 miles when
D = 90 t = 450 miles
To find the time t for D to be 450 miles, solve the above equation for t to obtain
t = 5 hours.
5 am + 5 hours = 10 am
Distance word problems, repeatedly entitled as uniform Rate problems, engage something travelling at set and stable speed or as well moving at an average speed. The formulas that used in distance and rate problems are two basic formulas that relate distance, rate and time.
Distance =speed * time
Speed = `(distance) / (time)`
Having problem with Distance Equation keep reading my upcoming posts, i will try to help you.
Distance Rate - Example problems:
Distance Rate - Example: 1
If a bus travelled 540 miles in 4 hours find the speed of the bus
Solution:
Bus travelled distance =540 miles
Total time =4 hours
Already we know the formula
Rate =`(Distance) / (time)`
=`540/4`
=135
Therefore the rate of the bus is 135 miles per hour
Distance Rate - Example 2:
At 11:00am, a bus (1) leaves city "1" at a constant rate of 60 mi/hr toward city "2". At the same time a second bus (2) leaves city "2" toward city "1" at the constant rate of 50 miles/hour. The distance between cities1 and 2 is 220 miles and these cities are connected by a highway used by the two bus. At what time will the two buses cross each other?
Solution:
Distance d1, between city "1" and bus (1), changes with the time t as
d1 = 60t, t = 0 corresponds to 11:00am.
Distance d2, between city "2" and bus (2),
Changes with the time t as
d2 = 220 - 50t
When the bus cross each other d1 = d2
60t = 220 - 50t
110t = 220
t = 2 hours
The two buses cross each other at
11:00am + 2hours = 13:00pm
Distance Rate - Example: 3
Two buses started from the same point, at 5 am, traveling in opposite directions at 40 and 50 mph respectively. At what time will they be 450 miles apart?
Solution:
After t hours the distances D2 and D1, in miles per hour, traveled by the two bus are given by
D1 = 40 t and D2 = 50 t
After t hours the distance D separating the two bus is given by
D = D1 + D2 = 40 t + 50 t = 90 t
Distance D will be equal to 450 miles when
D = 90 t = 450 miles
To find the time t for D to be 450 miles, solve the above equation for t to obtain
t = 5 hours.
5 am + 5 hours = 10 am
This post first appeared on Prime Numbers | Free Maths Problem Solver, please read the originial post: here
