Download App

Linear Equations in One Variable — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsLinear Equations in One Variable3 Marks
Question
A steamer goes downstream from one point to another in 9 hours. It covers the same distance upstream in 10 hours. If the speed of the stream be 1km/ hr, find the speed of the steamer in still water and the distance between the ports.
✓

Answer

Time taken by a steamer downstream = 9 hours
and upstream = 10 hours speed of steamer = 1km/ hr.
Let speed of the condition:
9(x + 1) = 10(x - 1)
9x + 9 = 10x - 10
⇒ 10x - 9x
= 9 + 10
⇒ x = 19
$\therefore $ Speed of the steamer in still water = 19 km/ h
and distance between two ports = 9(a + 1) = 9(19 + 1) = 9 × 20 = 180km.

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 "3 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

Find the number whose fifth part increased by 5 is equal to its fourth part diminished by 5.
→
A farmer has enough food to feed 28 animals in his cattle for 9 days. How long would the food last, if there were 8 more animals in his cattle?
→
$\Big(\frac{13}{7}+\frac{11}{26}\Big)-\Big(\frac{-4}{3}\times\frac{5}{6}\Big)$
→
The population of a city was 120000 in the year 2009. During next year it increased by 6% but due to an epidemic it decreased by 5% in the following year. what is its population in the year 2011?
→
Find the compound interest when principal = Rs. 3000, rate = 5% per annum and time = 2 years.
→
Factorize:
$a^4 b-3 a^2 b^2-6 a b^3$
→
Solve:$25 x^2-10 x+1-36 y^2$
→
Find the square root of the following by prime factorization.24336
→
In how much time will a sum of Rs. 1600 amount to Rs. 1852.20 at 5% per annum compound interest?
→
The cross-section of a canal is a trapezium in shape. If the canal is 10 m wide at the top 6 m wide at the bottom and the area of cross-section is $72 m^2$ determine its depth.
→