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A car travels a distance in the ratio of 3:2 at two different speeds. If the tot

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Question: A car travels a distance in the ratio of 3:2 at two different speeds. If the total distance is 150 km, how much distance does it cover at the first speed?

Options:

  1. 90 km
  2. 60 km
  3. 75 km
  4. 45 km

Correct Answer: 90 km

Solution: 

The total parts of the ratio 3:2 = 5. The distance covered at the first speed is (3/5) * 150 km = 90 km.

A car travels a distance in the ratio of 3:2 at two different speeds. If the tot

Practice Questions

Q1
A car travels a distance in the ratio of 3:2 at two different speeds. If the total distance is 150 km, how much distance does it cover at the first speed?
  1. 90 km
  2. 60 km
  3. 75 km
  4. 45 km

Questions & Step-by-Step Solutions

A car travels a distance in the ratio of 3:2 at two different speeds. If the total distance is 150 km, how much distance does it cover at the first speed?
  • Step 1: Understand that the car travels in two parts of a distance in the ratio of 3:2.
  • Step 2: Add the parts of the ratio together: 3 + 2 = 5 parts.
  • Step 3: Know that the total distance traveled by the car is 150 km.
  • Step 4: To find out how much distance is covered at the first speed, take the part of the ratio for the first speed, which is 3.
  • Step 5: Calculate the distance covered at the first speed by using the formula: (3/5) * 150 km.
  • Step 6: Perform the calculation: (3/5) * 150 = 90 km.
  • Step 7: Conclude that the distance covered at the first speed is 90 km.
  • Ratio and Proportion – Understanding how to divide a total distance based on a given ratio.
  • Distance Calculation – Applying the ratio to calculate specific distances covered at different speeds.
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