Download App

Linear Equations in One Variable — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsLinear Equations in One Variable4 Marks
Question
The distance between two stations is 340km. Two trains start simultaneously from these stations on parallel tracks to cross each other. The speed of one of them is greater than that of the other by 5km/ hr. If the distance between the two trains after 2 hours of their start is 30km, find the speed of each train.
✓

Answer

Distance between two stations = 340km.
Let the speed of the first train = x km/ hr.
Then speed of second train = (x + 5)km/ h.
Time = 2 hours
Distance travelled by the first train in 2 hours = 2x km
and distance travelled by the first trian in 2 hours = 2(x + 5)km
According to the condition,
340 - [2(x + 5) + 2x] = 30km
⇒ 340 - (2x + 10 + 2x) = 30
⇒ 4x + 10 = 340 - 30
⇒ 4x = 340 - 30 - 10
⇒ 4x = 300
$\Rightarrow\text{x}=\frac{300}{4}=75$
$\therefore$ Speed of first train = 75km/ hr
and speed of second train = 75 + 5 = 80km/ hr

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "4 Mark Question" from Linear Equations in One Variable→Linear Equations in One Variable — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

Construct a quadrilateral PQRS in which QR = 7.5cm, PR = PS = 6cm, RS = 5cm and QS = 10cm. Measure the fourth side.
→
Construct a rhombus whose diagonals are of length 10cm and 6cm.
→
Verify the following:
$-1+\Big(\frac{-2}{3}+\frac{-3}{4}\Big)=\Big(-1+\frac{-2}{3}\Big)+\frac{-3}{4}$
→
Gunpowder contains 75% nitre and 10% sulphur. Find the amount of gunpowder which carries 9kg nitre. What amount of gunpowder would contain 2.5kg sulphur?
→
Simplify:
$\frac{7}{9}+\frac{3}{-4}$
→
Using division of polynomials, state whether.
$2 x^2-x+3$ is a factor of $6 x^5-x^4+4 x^3-5 x^2-x-15$
→
The area of a trapezium is $405 cm^2$. Its parallel sides are in the ratio $4: 5$ and the distance between them is 18 cm . Find the length of each of the parallel sides.
→
Find three rational numbers between 4 and 5.
→
Simplify:
$\left(x^2-3 x+2\right)(5 x-2)-\left(3 x^2+4 x-5\right)(2 x-1)$
→
Resolve each of the following quadratic trinomial into factor: $7 x-6 x^2+20$
→