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tiarafaimealelei
27.11.2019 •
Mathematics
The distance train a travels is represented by d = 67t, where d is the distance in kilometers and t is the time in hours. the distance train b travels at various times is shown in the table. what is the unit rate of each train? which train is going faster?
time (hours) distance (km)
2 150
4 300
5 375
train a's unit rate km per hour.
train b's unit rate km per hour.
which train is faster?
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Ответ:
Train A's unit rate is 67 km per hour.
Train B's unit rate is 75 km per hour.
Train B is faster than Train A
Step-by-step explanation:
Train A
Distance traveled by Train A is represented by :
where
represents distance traveled in kilometers and
is the time in hours.
To find the unit rate of Train A, we will plugin
and get the distance traveled by Train A in 1 hour which will be the unit rate of Train A in km/hr.
So, distance traveled by Train A in 1 hour = 67 km
∴ Train A's unit rate is 67 km per hour.
Train B
For Train B, we are given the table for the time in hours and distance traveled in that duration.
Taking time =2 hours the distance traveled by Train B= 75 km
To find distance traveled in 1 hour we apply unitary method.
So![1\ hr = \frac{150}{2}\ km = 75\ km](/tpl/images/0393/6293/3c65e.png)
So, distance traveled by Train B in 1 hour = 75 km
∴ Train B's unit rate is 75 km per hour.
Difference in units rates =![75-67=8\ km/hr](/tpl/images/0393/6293/e6c7e.png)
On comparing their unit rate i.e. the speed of the trains we find out that Train B is faster than Train A by 8 km/hr
Ответ:
?
Step-by-step explanation: