Answer

Verified

446.1k+ views

**Hint:**First convert the time taken by a car in hours by dividing the minutes part by 60. Now substitute the value of distance and time in the formula $Speed=\dfrac{Distance}{Time}$. After that do the calculation to get the speed of the car.

**Complete step by step answer:**

Given: Distance travelled by car = 258 km

Time is taken by a car = 3 hours 35 minutes

Let the speed of the car be $S$.

To find the speed of the car, the time taken 3 hours 35 minutes must be converted into hours.

To convert the minutes into hours, divide the minutes by 60,

$\Rightarrow 3 hr \, 35 min = 3+\dfrac{35}{60}$

Canceling out the common factor,

$\Rightarrow 3 hr \, 35 min = 3+\dfrac{7}{12}$

Taking LCM and add then add the number in the numerator,

$\Rightarrow 3 hr \, 35 min = \dfrac{43}{12}$

So, the time taken by the car is $\dfrac{43}{12}$ hours.

The formula to calculate the speed is,

$Speed=\dfrac{Distance}{Time}$

Substituting the values of distance and time,

$\Rightarrow S=\dfrac{258}{\dfrac{43}{12}}$

Moving $12$ to the numerator,

$\Rightarrow S=\dfrac{258\times 12}{43}$

Canceling out the common factors,

$\Rightarrow S=6\times 12$

Multiplying the terms,

$\Rightarrow S=72km/h$

**Hence, the speed of the car is 72 km/h.**

**Note:**

The students are likely to make mistakes in questions that have units in a different form. Students are advised to use common conversions first to convert all the values in the same unit and then do calculations. Then change back the units into the original form.

This kind of question in Math falls under the “Algebra” category.

Algebra comes from a Latin variant of the Arabic word al-jabr, it came from the book’s title “Hidab al- jabr w'al-muqubala” by a mathematician from Arab-Mohammed ibn-Musa al-Khowarizmi in 825 A.D. If you still don’t think that Algebra is not an important subject, you are wrong. It is used in other fields like science, engineering, economics, mathematics, and medicine. The signs of (+) and (-) which prove to be essential elements in performing algebraic equations were discovered in the 16th century. Before that, people use written words to express the functions of addition and subtraction which was a time-consuming process.

Recently Updated Pages

what is the correct chronological order of the following class 10 social science CBSE

Which of the following was not the actual cause for class 10 social science CBSE

Which of the following statements is not correct A class 10 social science CBSE

Which of the following leaders was not present in the class 10 social science CBSE

Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE

Which one of the following places is not covered by class 10 social science CBSE

Trending doubts

A rainbow has circular shape because A The earth is class 11 physics CBSE

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

How do you graph the function fx 4x class 9 maths CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Why is there a time difference of about 5 hours between class 10 social science CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Difference Between Plant Cell and Animal Cell