Q8 Vande-Bharat express runs at a speed of 120 km/h. It starts from a station 8 hours after a goods
train leaves that station. Vande-Bharat overtakes the goods train after 4 hours. The speed of the goods
train is:
1. 60 km/h
2. 40 km/h
3. 80 km/h
4. 20 km/h

Speed Calculation of Vande Bharat Express and Goods Train

Understanding speed, distance, and time calculations is essential for competitive exams, including CSIR NET Life Science, IIT JAM Biotechnology, GATE Biotechnology, and DBT JRF. Let’s solve a common train speed problem involving the Vande Bharat Express and a goods train using simple math concepts.

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Given Data

• Speed of Vande Bharat Express = 120 km/h
• The goods train starts 8 hours earlier than Vande Bharat Express.
• Vande Bharat Express overtakes the goods train 4 hours after starting.
• The speed of the goods train needs to be calculated.

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Step-by-Step Calculation

Step 1: Distance Covered by Vande Bharat Express

• Time taken by Vande Bharat Express to overtake = 4 hours
• Distance traveled by Vande Bharat = Speed × Time
• 120×4=480 km 
• So, Vande Bharat travels 480 km before overtaking the goods train.

Step 2: Distance Covered by Goods Train

• The goods train had an 8-hour head start before Vande Bharat started.
• Total time traveled by goods train before being overtaken = 8 + 4 = 12 hours
• Let the speed of the goods train be X km/h.
• Distance covered by goods train = Speed × Time
• X×12 
•  Since both trains cover the same distance before overtaking,
• 12X=480 

Step 3: Solve for X

X= 480/12 

    =40 km/h  

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Correct Answer:

✅ Option 2: The speed of the goods train is 40 km/h.

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Concepts Used in This Problem

1. Speed, Distance, and Time Formula

Distance=Speed×Time

This formula helps solve various train-related problems in exams like CSIR NET, IIT JAM, and GATE Biotechnology.

2. Relative Motion

Since Vande Bharat starts late but moves faster, we compare the total distance traveled by both trains to find the speed of the slower train.

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Why Are Train Speed Problems Important for CSIR NET and Other Exams?

• These problems test logical reasoning and mathematical skills.
• CSIR NET Life Science, IIT JAM Biotechnology, and DBT JRF frequently include such logical reasoning questions.
• Understanding time, speed, and distance concepts can boost your exam score.

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Conclusion

By applying speed, distance, and time concepts, we found that the goods train runs at 40 km/h. Problems like these are essential for competitive exams like CSIR NET Life Science, IIT JAM Biotechnology, and GATE Biotechnology. For expert coaching, enroll at Let’s Talk Academy – your trusted institute for life sciences and biotechnology exam preparation.