Question

Anmol completes his journey in 10 hours. He covers half the distance at 46 km/h and the rest at 69 km/h. What is the length of the journey (in Km)?

• A. 552
• B. 561
• C. 549
• D. 556

Answer 1

Answer:

A. 552

Here's how to solve this problem:

1. Let the total distance be 2d:

• Since Anmol covers half the distance, each half is of length 'd'.

2. Calculate the time taken for each half:

• Time for the first half (t1) = Distance / Speed = d / 46

• Time for the second half (t2) = Distance / Speed = d / 69

3. Set up the equation for the total time:

• Total time = t1 + t2

• 10 = d/46 + d/69

4. Solve for d:

• Find a common denominator for 46 and 69. The least common multiple (LCM) of 46 and 69 is 138.

• Rewrite the equation with the common denominator:

  • 10 = (3d/138) + (2d/138)

• Combine the terms:

  • 10 = 5d/138

• Multiply both sides by 138:

  • 1380 = 5d

• Divide both sides by 5:

  • d = 1380/5

  • d = 276

5. Calculate the total distance:

• Total distance = 2d = 2 * 276 = 552

Therefore, the length of the journey is 552 km.