Mathematics
21.04.2022 06:05
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Medical researchers studying a medication in male and female patients 20 to 29 years

Medical researchers studying a medication in male and female patients 20 to 29 years old noticed that, up to a certain amount, a larger concentration of an active ingredient lead to greater levels of symptom relief. What is the explanatory variable?

A) age of patient
B) gender of patient
C) amount of symptom relief
D) concentration of active ingredient
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catboy7196
catboy7196
4,8(4 marks)

Car takes 23.076 minute to pass the truck

Solution:

A truck enters a highway driving 60 mph

A car enters the highway at the same place 5 minutes later and drives 73mph in the same direction

Let us consider,

Truck speed = 60 mph  ( given )

Time for the truck = T hour

The distance is given as:

distance = speed \times time

Therefore,

distance = 60 \times T\\\\Distance = 60T ------- eqn 1

Let us consider

Car speed = 73 mph ( given )

car time = T - 5minutes

We know that,

1 hour = 60 minutes

Therefore,

Car\ time = T - \frac{5}{60}\ hour\\\\Car\ time = T - \frac{1}{12}\ hour

Distance of car:

Distance = 73 \times (T - \frac{1}{12}) ------ eqn 2

The two distances are equal:

60T = 73(T - \frac{1}{12})\\\\60T = 73T - \frac{73}{12}\\\\60T = 73T - 6.0833\\\\73T - 60T = 6.0833\\\\13T = 6.0833\\\\Divide\ both\ sides\ by\ 13\\\\T = 0.4679

How long will it take the car to pass the truck?

Car\ time = T - \frac{1}{12}\ hour\\\\Car\ time = 0.4679 - 0.0833\\\\Car\ time = 0.3846\ hour\\\\Car\ time = 23.076\ minute

Thus car takes 23.076 minute to pass the truck

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