Free Online 11+ Maths Tutoring – Open to All

Free Online 11+ Maths Tutoring – Open to All Hi! I’m Rithvik Muthuvelu , a GCSE student at King Edward’s School, Birmingham , and I’m offering free weekly online maths sessions to help students prepare for the 11+ entrance exams . These sessions are open to anyone who wants to improve their maths skills—no school restrictions. What You’ll Get Free weekly online maths classes Focused 11+ preparation : problem-solving, arithmetic, word problems, exam strategies Small-group format for better interaction Ideal for Year 4 and Year 5 students How to Join Weekly Session: Saturdays at 2:00 PM Google Meet Link: https://meet.google.com/nrk-iwmh-gij Contact Email: rithvikmu1@gmail.com If your child is preparing for the 11+ and would like extra support, feel free to join the class or get in touch. Looking forward to helping more students learn and grow! — Rithvik Muthuvelu  

Town A and Town B

A train travels from Town A to Town B at a constant speed of 80 kilometres per hour (km/h). On the return journey from Town B to Town A, the train travels at a constant speed of 100 km/h. The total travel time for the round trip is 6 hours. How far is Town A from Town B?

Comments

  1. Let's call the distance between Town A and Town B "D" kilometers.

    For the trip from Town A to Town B, the train travels at 80 km/h. So, the time taken for this trip is D/80 hours.

    For the return trip from Town B to Town A, the train travels at 100 km/h. The time taken for this trip is D/100 hours.

    The total time for both trips is 6 hours. So, we can write the equation:

    D/80 + D/100 = 6

    To solve for D, first find a common denominator for the fractions, which would be 400 (since 400 is the least common multiple of 80 and 100). This gives us:

    5D/400 + 4D/400 = 6

    Combining the fractions, we get:

    9D/400 = 6

    Now, solve for D:

    9D = 6 × 400
    9D = 2400

    Divide both sides by 9:

    D = 2400 / 9
    D ≈ 266.67

    So, the distance between Town A and Town B is approximately 266.67 kilometers.

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