Ask question

Ask question

All categories

3 years ago

14

a train takes 3hours less for a journey of 360 km if it's speed is increased by 10km/hr from it's usual speed.find usual speed o

f train.

1 answer:

tekilochka [14]3 years ago

6 0

Answer:

30 km/h

Step-by-step explanation:

usual speed= x km/h

increased speed= x +10 km/h

distance= 360 km

time difference= 3 h

360/x= 360/(x+10) +3
360/x= (360+ 3x+30)/(x+10)
360(x+10)= x(390+3x)
360x+3600= 390x+ 3x²
3x² + 30 x -3600=0
x²+10x-1200=0
x=30 km/h

You might be interested in

How do you interpret a slope and the y- intercept?

nexus9112 [7]

The slope is rise over run, how many times you go up (or if down it'd be a negative) and over.
The y-intercept is what point on the y axis the line passes through

8 0

3 years ago

A team of scientist surveying a forest found that there were four oak trees for every 10 pine trees. If they counted 24 more pin

Ipatiy [6.2K]

Answer:

There are 16 Oak tree in the forest.

Step-by-step explanation:

Given: There are 4 Oak tree on every 10 pine trees.

There are total 24 more pine tree than Oak tree.

Using the ratio of trees to find the number of trees.

Lets assume there are total number of Oak tree be "x".

∴ Total number of Pine trees will be $"x+24"$

We know the ratio of Oak to Pine tree is 4:10 or $\frac{4}{10}$

⇒ $\frac{x}{x+24} = \frac{4}{10}$

Multiplying both side by $x+24$

⇒ $x= \frac{4(x+24)}{10}$

Using distributive property of multiplication, distributing 4 with x and 24.

⇒ $x= \frac{4x+96}{10}$

Multiplying both side by 10

⇒ $10x= 4x+96$

subtracting both side by 4x

⇒ $6x= 96$

dividing both side by 6

⇒ $x= \frac{96}{6}$

∴ $x= 16$

Hence, There are 16 Oak trees in the forest.

5 0

3 years ago

What is the measure arc PD?<br> a) 35°<br> b) 90°<br> c) 110°<br> d) 180°

solmaris [256]

Answer:

c) 110°

Step-by-step explanation:

Arc FP is twice the measure of the marked angle, so is 70°. If FD is supposed to be a diameter, then arc FPD is a semicircle (180°) and arc PD is 180° -70° = 110°.

7 0

3 years ago

I Need help for this now like a real answer

fredd [130]

Answer:

It is either A or B but I think it is B

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The equation sin(40o) =b/20 can be used to determine the length of line segment AC. What is the length of AC? Round to the neare

boyakko [2]

For this case we have the following equation:
sin (40o) = b / 20
Clearing b we have:
20 * sin (40o) = b
Therefore, the length of the AC segment is given by:
b = 12.9
Answer:
the length of AC is:
b = 12.9

7 0

3 years ago