Math, asked by tirumalaganeshgoud12, 5 months ago

Ajay takes 3 hours to travel from City A to City B at his
normal speed. However, he can travel the same
distance in 2 hours by travelling at 'x' km/h. Find the
normal speed of Ajay if the difference between the
speeds is 20 km/h.​

Answers

Answered by dualadmire
3

Given:

Time taken by Ajay to travel from city A to city B = 3 hours

He travels the same distance in 2 hours with speed = x km/hr

Difference between normal speed and x = 20 km /hr

To find:

The normal speed of Ajay.

Solution:

Let the normal speed be y km/hr

We know that speed = distance/ time

y = d/3........(1)

x = d/2..........(2)

As given: x- y = 20.............(3)

Now we have three equation and three variables.

Putting the value of x and y in equation 3 we get:

d/2 - d/3 = 20

d/6 = 20

d = 120 km

y = d/3 = 120/3 = 40 km/hr

Therefore the normal speed of Ajay is 40 km/hr.

Answered by pulakmath007
3

SOLUTION

GIVEN

  • Ajay takes 3 hours to travel from City A to City B at his normal speed.

  • However, he can travel the same distance in 2 hours by travelling at 'x' km/h.

TO DETERMINE

The normal speed of Ajay if the difference between the speeds is 20 km/h.

FORMULA TO BE IMPLEMENTED

Distance = Speed × Time

EVALUATION

Here it is given that Ajay takes 3 hours to travel from City A to City B at his normal speed.

Now Ajay can travel the same distance in 2 hours by travelling at 'x' km/h.

So the distance = 2x km

So Ajay travels distance of 2x km in 3 hours

So normal speed of Ajay

 \displaystyle \sf{ =  \frac{2x}{3}  \:  }

So by the given condition

 \displaystyle \sf{ x -   \frac{2x}{3}   = 20\:  }

 \displaystyle \sf{ \implies  \frac{3x - 2x}{3}   = 20\:  }

 \displaystyle \sf{ \implies  \frac{x}{3}   = 20\:  }

 \displaystyle \sf{ \implies x = 60}

So normal speed of Ajay is

 \displaystyle \sf{   = \frac{2x}{3}   \:  }

 \displaystyle \sf{= \frac{2}{3}  \times 60 \:  }

 = 40

Hence the normal speed of Ajay is 40 km/h

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. A scooter is travelling at uniform speed of 80 km/hr. How much distance it will cover in 24 min.?

https://brainly.in/question/31137065

2. Hari and Prakash go for a swim after a gap of every 2 days and every 3 days respectively. If on 1st January both of them

https://brainly.in/question/32350549

Similar questions