A car starts from point P on a circular track and an SUV starts from point Q, which is 600 meters ahead of P in the direction of…

Question

A car starts from point P on a circular track and an SUV starts from point Q, which is 600 meters ahead of P in the direction of motion. The car's speed is 15 m/s, and the SUV's speed is 10 m/s. The circumference of the track is 1.5 km. How much distance will the car have traveled when it first overtakes the SUV?

1. A. 900 m
2. B. 1200 m
3. C. 1500 m
4. D. 1800 m (Correct answer)

Correct Answer

Option D — 1800 m

Detailed Solution & Explanation

The correct answer is 1800 m.

Key Points

• On a circular track with both moving the same way, the closing speed is the difference: $15 - 10 = 5$ m/s.
• The car must make up the 600 m head start, which takes $600 \div 5 = 120$ seconds.
• In that time the car covers $15 \times 120 =$ 1800 m.

Additional Information

• The 1.5 km circumference is a distractor — it does not enter the calculation. The car simply laps once and a bit before catching up.
• The question asks for the distance the car travels, not the time or the SUV's distance; the SUV covers $10 \times 120 = 1200$ m in the same interval, and 1800 − 1200 = 600 ✓
• Same direction uses the difference of speeds; opposite directions would use the sum.

प्रश्न (हिन्दी में)

एक कार एक वृत्ताकार ट्रैक पर बिंदु P से चलना शुरू करती है और एक SUV बिंदु Q से चलना शुरू करती है, जो गति की दिशा में P से 600 मीटर आगे है। कार की गति 15 मीटर/सेकंड है, और SUV की गति 10 मीटर/सेकंड है। ट्रैक की परिधि 1.5 किमी है। जब कार पहली बार SUV से आगे निकलेगी तो उसने कितनी दूरी तय की होगी?

1. A. 900 मी
2. B. 1200 मी
3. C. 1500 मी
4. D. 1800 मी