All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
Class 12 Exam  >  Class 12 Questions  >  Two buses start simultaneously from town a an... Start Learning for Free
SaveJoin the Discussion on the App
Two buses start simultaneously from town a and b 480 km apart first bus takes 8 hours to cover the distance a to b and second bus taken 10 hours to travel B to a determine when and where do the buses crosses to each other?
Clear all your Class 12 doubts with EduRev
Most Upvoted Answer
Two buses start simultaneously from town a and b 480 km apart first bu...
Solution: Buses Crossing Each Other


Understanding the Problem

Two buses start simultaneously from town A and B 480 km apart. The first bus takes 8 hours to cover the distance A to B, and the second bus takes 10 hours to travel B to A. Determine when and where do the buses cross each other?


Approach


  • Calculate the speed of both buses.

  • Calculate the time taken by both buses to meet each other.

  • Calculate the distance travelled by both buses to meet each other.

  • Calculate the position where both buses meet each other.



Calculation


  • Let's assume the speed of the first bus is x km/h, and the speed of the second bus is y km/h.

  • We know the distance between town A and B is 480 km.

  • The first bus takes 8 hours to cover the distance A to B, so we can write:


    • 480 = 8x

    • x = 60 km/h


  • The second bus takes 10 hours to travel B to A, so we can write:


    • 480 = 10y

    • y = 48 km/h


  • Now, we know the speed of both buses. Let's calculate the time taken by both buses to meet each other.


    • Let's assume both buses meet after t hours.

    • Distance travelled by the first bus in t hours = 60t km

    • Distance travelled by the second bus in t hours = 48t km

    • Total distance travelled when both buses meet = 480 km

    • Therefore, we can write:


      • 60t + 48t = 480

      • 108t = 480

      • t = 4.44 hours (approx)



  • Now we know that both buses meet after 4.44 hours of starting.

  • Let's calculate the distance travelled by both buses to meet each other.


    • Distance travelled by the first bus in 4.44 hours = 60 x 4.44 = 266.4 km

    • Distance travelled by the second bus in 4.44 hours = 48 x 4.44 = 213.12 km


  • Now, we need to calculate the position where both buses meet each other.


    • Let's assume the position where both buses meet is x km from town A.

    • Distance travelled by the first bus to meet the second bus = 480 - x km

Community Answer
Two buses start simultaneously from town a and b 480 km apart first bu...
The answer is 264km vishal...!!👍👍
Explore Courses for Class 12 exam

Similar Class 12 Doubts

With an aim to check flow of black money and evasion of taxes through stock market, market regulator SEBI has decided to impose hefty penalty on brokers facilitating such transactions from tomorrow. The regulator recently came across a loophole in its existing regulations, which was being abused by stock brokers for facilitating tax evasion and flow of black money through fictitious trades in lieu of hefty commissions. To remove this anomaly, SEBI has asked stock exchanges to penalise the brokers transferring trades from one trading account to another after terming them as ‘punching’ errors. The penalty could be as high as 2% of the value of shares traded in the ‘wrong’ account, as per new rules coming into effect from August 1.In a widely-prevalent, but secretly operated practice, the people looking to evade taxes approach certain brokers to show losses in their stock trading accounts, so that their earnings from other sources are not taxed. These brokers are also approached by people looking to show their black money as earnings made through stock market. In exchange for a commission, generally 5-10% of the total amount, these brokers show desired profits or losses in the accounts of their clients after transferring trades from other accounts, created for such purposes only.The brokers generally keep conducting both ‘buy’ and ‘sell’ trades in these fictitious accounts so that they can be used accordingly when approached by such clients.In the market parlance, these deals are known as profit or loss shopping. While profit is purchased to show black money as earnings from the market, the losses are purchased to avoid tax on earnings from other sources.As the transfer of trades is not allowed from one account to the other in general cases, the brokers show the trades conducted in their own fictitious accounts as ‘punching’ errors. The regulations allow transfer of trades in the cases of genuine errors, as at times ‘punching’ or placing of orders can be made for a wrong client. To check any abuse of this rule, SEBI has asked the bourses to put in place a robust mechanism to identify whether the errors are genuine or not. At the same time, the bourses have been asked to levy penalty on the brokers transferring their non-institutional trades from one account to the other. The penalty would be 1% of the traded value in wrong account, if such trades are up to 5% of the broker’s total non-institutional turnover in a month. The penalty would be 2% of trade value in wrong account, if such transactions exceed 5% of total monthly turnover in a month.Q. In the light of the second paragraph what do people who intend to evade taxes do?

Read the following text and answer the following questions on the basis of the same:Optical Fibre:Optical fibre works on the principle of total internal reflection. Light rays can be used to transmit a huge amount of data, but there is a problem here – the light rays travel in straight lines. So unless we have a long straight wire without any bends at all, harnessing this advantage will be very tedious. Instead, the optical cables are designed such that they bend all the light rays’ inwards (using TIR). Light rays travel continuously, bouncing off the optical fibre walls and transmitting end to end data. It is usually made of plastic or glass.Modes of transmission: Single-mode fibre is used for long-distance transmission, while multi- mode fiber is used for shorter distances. The outer cladding of these fibres needs better protection than metal wires. Although light signals do degrade over progressing distances due to absorption and scattering. Then, optical Regenerator system is necessary to boost the signal.Types of Optical Fibres: The types of optical fibers depend on the refractive index, materials used, and mode of propagation of light. The classification based on the refractive index is as follows: Step Index Fibres: It consists of a core surrounded by the cladding, which has a single uniform index of refraction. Graded Index Fibres: The refractive index of the optical fibre decreases as the radial distance from the fibre axis increases. Q. In graded index optical fibre

Two buses start simultaneously from town a and b 480 km apart first bus takes 8 hours to cover the distance a to b and second bus taken 10 hours to travel B to a determine when and where do the buses crosses to each other?
Question Description
Two buses start simultaneously from town a and b 480 km apart first bus takes 8 hours to cover the distance a to b and second bus taken 10 hours to travel B to a determine when and where do the buses crosses to each other? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Two buses start simultaneously from town a and b 480 km apart first bus takes 8 hours to cover the distance a to b and second bus taken 10 hours to travel B to a determine when and where do the buses crosses to each other? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two buses start simultaneously from town a and b 480 km apart first bus takes 8 hours to cover the distance a to b and second bus taken 10 hours to travel B to a determine when and where do the buses crosses to each other?.
Solutions for Two buses start simultaneously from town a and b 480 km apart first bus takes 8 hours to cover the distance a to b and second bus taken 10 hours to travel B to a determine when and where do the buses crosses to each other? in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of Two buses start simultaneously from town a and b 480 km apart first bus takes 8 hours to cover the distance a to b and second bus taken 10 hours to travel B to a determine when and where do the buses crosses to each other? defined & explained in the simplest way possible. Besides giving the explanation of Two buses start simultaneously from town a and b 480 km apart first bus takes 8 hours to cover the distance a to b and second bus taken 10 hours to travel B to a determine when and where do the buses crosses to each other?, a detailed solution for Two buses start simultaneously from town a and b 480 km apart first bus takes 8 hours to cover the distance a to b and second bus taken 10 hours to travel B to a determine when and where do the buses crosses to each other? has been provided alongside types of Two buses start simultaneously from town a and b 480 km apart first bus takes 8 hours to cover the distance a to b and second bus taken 10 hours to travel B to a determine when and where do the buses crosses to each other? theory, EduRev gives you an ample number of questions to practice Two buses start simultaneously from town a and b 480 km apart first bus takes 8 hours to cover the distance a to b and second bus taken 10 hours to travel B to a determine when and where do the buses crosses to each other? tests, examples and also practice Class 12 tests.
Explore Courses for Class 12 exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup