hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    Train 1 travelling at a speed of 80 km/hr leaves station A at 6:00 a.m., and train 2 travelling at 105 km/hr starts from station A at 8:30 a.m. i
    Question

    Train 1 travelling at a speed of 80 km/hr leaves station A at 6:00 a.m., and train 2 travelling at 105 km/hr starts from station A at 8:30 a.m. in the same direction on a parallel track. At what distance (in km) from station A will train 2 meet train 1?

    A.

    920

    B.

    840

    C.

    780

    D.

    860

    Correct option is B

    Given:

    Speed of Train 1 = 80 km/hr

    Speed of Train 2 = 105 km/hr

    Train 1 leaves Station A at 6:00 a.m.

    Train 2 leaves Station A at 8:30 a.m., 2.5 hours later.

    Solution:

    Time gap between the two trains:
    Train 2 starts 2.5 hours later than Train 1.
    In this 2.5 hours, Train 1 will cover:

    Distance covered by Train 1 in 2.5 hours = Speed × Time = 80 km/hr × 2.5 hrs = 200 km

    Since both trains are moving in the same direction, the relative speed is the difference in their speeds:

    Relative speed = 105 km/hr − 80 km/hr = 25 km/hr

    Time taken for Train 2 to catch up with Train 1:

    Time =DistanceRelative speed=20025=8 hours \frac{\text{Distance}}{\text{Relative speed}} = \frac{200}{25} = 8 \, \text{hours}​​

    Distance at which they meet:
    Train 2 will meet Train 1 after 8 hours of travel from 8:30 a.m. (when Train 2 starts). The distance traveled by Train 2 in 8 hours is:

    Distance traveled by Train 2= 105 km/hr×8 hrs=840 km105 \, \text{km/hr} \times 8 \, \text{hrs} = 840 \, \text{km}

    Train 2 will meet Train 1 at a distance of 840 km from Station A.

    Free Tests

    Free
    Must Attempt

    RRB NTPC UG Level PYP (Held on 7 Aug 2025 S1)

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English
    Free
    Must Attempt

    CBT-1 Full Mock Test 1

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English
    Free
    Must Attempt

    RRB Group D Full Mock Test 1

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English

    Similar Questions

    test-prime-package

    Access ‘RPF Constable’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    446k+ students have already unlocked exclusive benefits with Test Prime!

    Similar Questions

    Our Plans
    Monthsup-arrow