Question

A car takes 5 hour 10 min to cover 124 km. If it's speed is increased by 7km/h , how long will it take to cover the same distance?

Answer 1

1 hour=60 minutes

we know that,speed =distance/time

speed=124×6/7=124/5.167=124000/5167

~24 km/hr

increasing speed=24+7=31 km/hr

time=60+10=70 minutes

distance=124km

solution:.

31=124/x

x=124/31

x=4 hrs

Answer 2

Final Answer:

The time that the car takes to cover the distance of 124 km with an increase in speed by 7km/hr is 4 hours.

Given:

The car is said to take 5 hours and 10 mins to cover the distance of 124 km.

The speed of the car is increased by 7km/hr.

To Find:

The time that the car takes to cover the same distance is to be calculated.

Explanation:

The concept of speed is required to arrive at the solution.

The distance covered by a car is the product of the speed of the car and the time taken by the car.

Step 1 of 3

As per the statement given in the problem, write the following parameters.

• The time taken by the car is $5\;hrs\;10\;mins=(5+\frac{10}{60} )=\frac{31}{6} \;hr$.
• The distance is $=124\;km$.

Step 2 of 3

Using the information in the given problem, the initial speed of the car is

$=\frac{124}{\frac{31}{6}}\\=124\times \frac{6}{31}\\=4\times6\\=24\;km/hr$

Step 3 of 3

In continuation with the above calculations, the increased speed of the car is

$=(24+7)\\=31\;km/hr$

So, the time that the car takes to cover the distance of 124 km is

$=\frac{124}{31} \\=4\;hrs$

Therefore, the required correct answer is the time of 4 hours.

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