Q23 Imran runs at 10 miles/hour and completes a track in 151.2 minutes. His friend Nawaz completes
the same track in 210 minutes. How fast was Imran running compared to his friend?
1.2.7 miles/hour
2.2.8 miles/hour
3.2.6 miles/hour
4. 2.9 miles/hour

Introduction to Speed and Time Calculations

Understanding the relationship between speed, distance, and time is essential for solving competitive exam questions and real-life problems. In this case, Imran and Nawaz completed the same track at different times, which allows us to calculate Imran’s running speed compared to his friend Nawaz. Mastering such problems is important for exams like DBT BET JRF, CSIR NET Life Science, IIT JAM, and GATE Biotechnology.

Problem Statement

Imran runs at 10 miles/hour and completes a track in 151.2 minutes. His friend Nawaz completes the same track in 210 minutes. We need to find out how fast Imran was running compared to his friend.

Step-by-Step Calculation

Step 1: Find the Distance of the Track

We know that:

Speed=Distance / Time

Therefore,

Distance=Speed×Time

Imran’s speed = 10 miles/hour

Imran’s time = 151.2 minutes = 151.2 ÷ 60 = 2.52 hours

Distance=10×2.52=25.2 miles

Step 2: Find Nawaz’s Running Speed

Nawaz takes 210 minutes = 210 ÷ 60 = 3.5 hours

Therefore, Nawaz’s speed = 25.2/3.5

7.2 miles/hour 

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Step 3: Find the Difference in Speed

Difference in speed = Imran’s speed ÷ Nawaz’s speed
10/7.2 =2.8

Correct Answer:

Imran was running approximately 2.8 times faster than his friend Nawaz.

Understanding Speed, Distance, and Time Relationships

• Speed is directly proportional to distance and inversely proportional to time.
• Faster speeds result in shorter completion times for the same distance.
• Understanding the relationship between these three variables is key to solving such problems efficiently in exams.

Key Takeaways

✔️ Imran’s speed was calculated based on the time and distance relationship.
✔️ Nawaz’s speed was calculated using the same distance but different time.
✔️ The ratio of speeds between Imran and Nawaz was found to be 2.8.

Conclusion

Imran was running approximately 2.8 times faster than his friend Nawaz. Mastering such speed and time problems is essential for success in competitive exams like DBT BET JRF, CSIR NET Life Science, IIT JAM, and GATE Biotechnology.

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