# a train travels at a certain average speed for a distance of 63 km and then travels at a distance of 72 km at an average speed of 6 km/hr more than its original speed. if it takes 3 hours to complete total journey, what is the original average speed?

### Mohammed

Guys, does anyone know the answer?

get a train travels at a certain average speed for a distance of 63 km and then travels at a distance of 72 km at an average speed of 6 km/hr more than its original speed. if it takes 3 hours to complete total journey, what is the original average speed? from screen.

## A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is its original average speed ?

Click here👆to get an answer to your question ✍️ A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is its original average speed ?

Question

## A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is its original average speed ?

Medium Open in App Solution Verified by Toppr

Let average speed be x km/hr.

x 63 + x+6 72 =3 21(x+6)+24x=x 2 +6x x 2 −39x−126=0 (x−42)(x+3)=0 x=42 km/hr

Was this answer helpful?

933 171

## A train travels at a certain average speed for a distance 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than the original speed. If it takes 3 hours to complete total journey, what is its original average speed?

A train travels at a certain average speed for a distance 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than the original speed. If it takes 3 hours to complete total journey, what is its original average speed?

Byju's Answer Standard X Mathematics

Solving a Quadratic Equation by Factorization Method

A train trave... Question

A train travels at a certain average speed for a distance 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than the original speed. If it takes 3 hours to complete total journey, what is its original average speed?

Open in App Solution

Let the original average speed of train be x.

Time taken by train to cover 63 km with original speed =

Time taken by train to cover 72 km with increased speed =

It is given that ; 63 x + 72 x + 6 = 3

Speed cannot be negative, so the original average speed is 42km/hr.

Suggest Corrections 193

SIMILAR QUESTIONS

**Q.**A trains travels at a certain speed for a distance of

63 k m

& then travels a distance

72 k m

at an average speed of

6 k m / h

more than its original speed. If it takes

3 h

to complete the total journey then find its original avg speed

**Q.**A motor boat whose speed is 18 km/hr in still water takes 1 hr more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.

OR

A train travels at a certain average speed for a distance of 63 km and then travels at a distance of 72 km at an average speed of 6 km/ hr more than its original speed. If it takes 3 hours to complete total journey, what is the original average speed ?

**Q.**

A train travels at a certain average speed for a distance of 63 km and then Travels at a distance of 72 km at an average speed of 6 km per hour more than its original speed if it takes 3 hours to complete total journey what is the original speed ?

My solution : 63/x + 72/(x+6) = 3

After solving I got the answer => x=42

I wrote the answer as the train's original average speed is 42km/hr .

Is it correct ??????

**Q.**A bus travels at a certain average speed for a distance of

75 k m

and then travels a distance of

90 k m

at an average speed of

10 k m / h r

more than the first speed. If it takes

3

hours to complete the total journey. Find its original speed.

RELATED VIDEOS

Solving QE by Factorisation

MATHEMATICS Watch in App EXPLORE MORE

Solving a Quadratic Equation by Factorization Method

Standard X Mathematics

## A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/h more than its original speed

A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/h more than its original speed. If it takes 3 hours to complete the

## A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/h more than its original speed. If it takes 3 hours to complete the total journey, what is its original average speed

**Solution:**

We have to find the original average speed of the train.

Total journey completed in 3 hours.

We know, distance = speed/time

Given, a train travels a distance of 63km at an average speed of x km/hr,

Time = 63/x

Given, same train travels a distance of 72km at an average speed of (x+6)km/hr,

Time = 72/(x+6)

So, 3 = (63/x) + 72/(x+6)

Dividing by 3 on both sides,

1 = 21/x + 24/(x+6)

x(x + 6) = 21(x + 6) + 24(x)

x² + 6x = 21x + 126 + 24x

By grouping,

x² + 6x - 21x - 24x = 126

x² - 39x - 126 = 0

x² - 42x + 3x - 126 = 0

x(x - 42) + 3(x - 42) = 0

(x - 42)(x + 3) = 0 Now, x - 42 = 0 x = 42 Also, x + 3 = 0 x = -3

Since the average speed x cannot be negative, x = 42km/hr

Therefore, the original average speed of the train is 42km/hr.

**✦ Try This:**A train travels at a certain average speed for a distance of 37 km and then travels a distance of 32km at an average speed of 6 km/h more than its original speed. If it takes 3 hours to complete the total journey, what is its original average speed

**☛ Also Check:**NCERT Solutions for Class 10 Maths Chapter 4

**NCERT Exemplar Class 10 Maths Exercise 4.4 Sample Problem 3**

## A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/h more than its original speed. If it takes 3 hours to complete the total journey, what is its original average speed

**Summary:**

A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72km at an average speed of 6 km/h more than its original speed. If it takes 3 hours to complete the total journey, its original average speed is 42 km/hr

**☛ Related Questions:**

8x² + 2x - 3 = 0, find whether the equation has real roots. If real roots exist, find them

-2x² + 3x + 2 = 0, find whether the equation has real roots. If real roots exist, find them

5x² - 2x - 10 = 0, find whether the equation has real roots. If real roots exist, find them

Guys, does anyone know the answer?