Free Online 11+ Maths Tutoring – Open to All

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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  
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The Train Trouble Problem

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A train leaves London at 10:15 a.m. and travels to Manchester at a constant speed of 60 miles per hour. Another train leaves Manchester at 11:00 a.m. and travels toward London at a speed of 75 miles per hour. The distance between London and Manchester is 300 miles.

At what time will the two trains pass each other?

Comments

  1. Rithvik28 March 2025 at 06:45

    Step 1: Let’s figure out how far the first train travels before the second train starts
    From 10:15 a.m. to 11:00 a.m. = 45 minutes = 0.75 hours
    In that time, the first train travels:
    60 miles/hour × 0.75 hours = 45 miles

    So when the second train starts at 11:00 a.m., the first train has already covered 45 miles.
    That means the distance between the two trains at 11:00 a.m. is 300 - 45 = 255 miles.

    Step 2: Now, both trains are moving toward each other
    Their combined speed = 60 + 75 = 135 miles/hour

    Now we calculate the time taken to meet after 11:00 a.m.:
    255 miles ÷ 135 miles/hour = 1.888... hours

    Convert 0.888... hours to minutes:
    0.888 × 60 ≈ 53.3 minutes

    So they meet 1 hour and 53 minutes after 11:00 a.m.
    ⇒ Time of meeting = 11:00 a.m. + 1 hour 53 minutes = 12:53 p.m.

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