Speed Ratio Problem in Quantitative Aptitude – Speed of First Train

Understanding speed ratios is crucial for mastering time, speed, and distance problems in quantitative aptitude. These questions are frequently asked in competitive exams to test your ability to relate known and unknown values using proportional reasoning.

📌 Problem Statement:

The ratio between the speeds of two trains is 7 : 8.If the second train runs 400 km in 5 hours, what is the speed of the first train?

📹 Watch full explanation in the video below:

The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 kms. in 5 hours, the speed of the first train is ?

🎯 Useful For These Exams

✅ Indian Exams:

• CA Foundation

• CUET (Quantitative Aptitude)

• CSEET

• CMA Foundation

• SSC CGL, CHSL

• RRB NTPC

• Banking (IBPS, SBI PO/Clerk, RBI Assistant)

• State PSC aptitude papers

🌍 International Exams:

• SAT Math

• ACT Math

• GRE Quant

• GMAT Quant

• IGCSE / GCSE Math

• Foundation-level Math Olympiads

💡 Quick Tip:

If speed ratio is 7 : 8, and actual speed of the second train is known, use unitary method to find the first train’s speed:

• Speed of second train = 400 km ÷ 5 h = 80 km/h

• Speed ratio 7 : 8 ⇒ first train speed = (7 ÷ 8) × 80 = 70 km/h

🧪 Try Yourself:

The ratio between the speeds of two trains is 7 : 8.If the second train runs 480 km in 6 hours, what is the speed of the first train?

👉 Comment your answer below!