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Eduncle posted an MCQ
October 20, 2019 • 19:38 pm 0 points
  • CSIR NET
  • Physical Sciences

The distance from Nehrunagar to Gandhinagar is 27 km. A and B start walking from Nehrunagar towards Gandhinagar at speeds of 5 km/hr and 7 km/hr, respectively.

The distance from Nehrunagar to Gandhinagar is 27 km. A and B start walking from Nehrunagar towards Gandhinagar at speeds of 5 km/hr and 7 km/hr, respectively. B reaches Gandhinagar, returns immediately, and meets A at Indiranagar. What is the distance between Nehrunagar and Indiranagar ? (Assume all three cities to be in one straight line)

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    Eduncle Best Answer

    Let the total distance between Nehrunagar to Indiranagar = x km
    Time taken for A to reach Indiranagar = Distance/speed = x/5 hours
    Time taken for B to reach Gandhinagar from Nehrunagar = 27/7 hrs
    Hence, distance between Indiranagar and Gandhinagar = (27 – x) km
    Time taken by B to cover this distance = (27 – x)/7 hours
    The time taken by A to reach Indiranagar = Time taken by B to reach Gandhinagar and come back to Indiranagar
    Hence,
    x/5 = 27/7 + (27 – x)/7
    x/5 – (27 – x)/7 = 27/7
    On solving further,
    (7x – 135 + 5x)/35 = 27/7
    12x – 135 = 135
    or, 12x = 270
    x = 22.5 kms”

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