Answer
Verified
424.8k+ views
Hint: Here, we will proceed by finding out the relative speed between the two cars and then using the formula i.e., Time taken$ = \dfrac{{{\text{Distance travelled}}}}{{{\text{Speed}}}}$ to determine after how many hours these cars will meet each other.
Complete step-by-step answer:
Given, Distance between the two cars d=160 km
Starting time for both the cars when they left their respective initial positions A and B is 8:10 AM
Speed of the first car, x=50 km per hour
Speed of the second car, y=30 km per hour
In order to obtain the relative speed between these two cars which are moving towards each other (i.e., in opposite directions), the individual speeds of these cars will be added.
So, the relative speed between the two given cars, r= x+y=50+30=80 km per hour
As we know that, Time taken$ = \dfrac{{{\text{Distance travelled}}}}{{{\text{Speed}}}}$
So, time when both the cars will meet=$\dfrac{{{\text{Initial distance between both the cars}}}}{{{\text{Relative speed between the cars}}}} = \dfrac{{\text{d}}}{{\text{r}}} = \dfrac{{160}}{{80}} = 2$ hours.
After 8:10 AM, both the cars which are initially at different places A and B will meet each other in the next 2 hours.
Therefore, time when they will meet each = 8:10 AM + 2 hours = 10:10 AM
Hence, option A is correct.
Note: In this particular problem, since the given two cars are moving in opposite directions (or moving towards each other) that’s why the individual speed of the cars are added in order to determine the relative speed between them but if they were moving in the same direction then the relative speed between these cars would have been obtained by subtracting the individual speed of these cars.
Complete step-by-step answer:
Given, Distance between the two cars d=160 km
Starting time for both the cars when they left their respective initial positions A and B is 8:10 AM
Speed of the first car, x=50 km per hour
Speed of the second car, y=30 km per hour
In order to obtain the relative speed between these two cars which are moving towards each other (i.e., in opposite directions), the individual speeds of these cars will be added.
So, the relative speed between the two given cars, r= x+y=50+30=80 km per hour
As we know that, Time taken$ = \dfrac{{{\text{Distance travelled}}}}{{{\text{Speed}}}}$
So, time when both the cars will meet=$\dfrac{{{\text{Initial distance between both the cars}}}}{{{\text{Relative speed between the cars}}}} = \dfrac{{\text{d}}}{{\text{r}}} = \dfrac{{160}}{{80}} = 2$ hours.
After 8:10 AM, both the cars which are initially at different places A and B will meet each other in the next 2 hours.
Therefore, time when they will meet each = 8:10 AM + 2 hours = 10:10 AM
Hence, option A is correct.
Note: In this particular problem, since the given two cars are moving in opposite directions (or moving towards each other) that’s why the individual speed of the cars are added in order to determine the relative speed between them but if they were moving in the same direction then the relative speed between these cars would have been obtained by subtracting the individual speed of these cars.
Recently Updated Pages
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Find the values of other five trigonometric functions class 10 maths CBSE
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Write an application to the principal requesting five class 10 english CBSE
Difference Between Plant Cell and Animal Cell
a Tabulate the differences in the characteristics of class 12 chemistry CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
Discuss what these phrases mean to you A a yellow wood class 9 english CBSE
List some examples of Rabi and Kharif crops class 8 biology CBSE