A car travels 0.875 km in 1 minute. How far does it travel in 1 hour 45 minutes?

Question

A car travels 0.875 km in 1 minute. How far does it travel in 1 hour 45 minutes?

1. A. 91.875 km (Correct answer)
2. B. 94.576 km
3. C. 95.444 km
4. D. 92.582 km

Correct Answer

Option A — 91.875 km

Detailed Solution & Explanation

The correct answer is 91.875 km.

Key Points

• Convert the time to a single unit first: 1 hour 45 minutes = 60 + 45 = 105 minutes.
• The rate is given per minute, so no speed conversion is needed:
  • Distance = 0.875 × 105 = 91.875 km
• A quick check: 0.875 km/min is 52.5 km/h, and 52.5 × 1.75 h = 91.875 km — the same figure by the other route.
• Matching units to the rate you are given is the whole question here; converting to km/h first works but adds a step where errors creep in.

Additional Information

• The three forms of the same relation: Distance = Speed × Time, Speed = Distance / Time, Time = Distance / Speed.
• Conversions worth automatic recall: 1 km/h = 5/18 m/s, 1 m/s = 18/5 km/h, and 1 hour = 3,600 seconds.
• Keep the units of the rate and the time consistent before multiplying; converting the rate is optional, but converting the time to match it is not.

प्रश्न (हिन्दी में)

एक कार 1 मिनट में 0.875 किमी की यात्रा करती है। 1 घंटे 45 मिनट में वह कितनी दूरी तय करेगी?

1. A. 91.875 किमी
2. B. 94.576 किमी
3. C. 95.444 किमी
4. D. 92.582 किमी