Time & distance

Quantitative Aptitude (MTS)

Title

45:30

8 of 24 completed

5 of 15 completed

38 of 100 completed

8 of 20 completed

Indian Economy - Understanding the basics of Indian economic system

If a person goes from home to his college at a speed of 12 km/h, he reaches 7 minutes early. If he goes at a speed of 8 km/h, he

reaches 14 minutes late. What is the distance between his home and his college?

This questions was previously asked in

SSC MTS 19th July 2022 Shift-1

9.2 km

9.6 km

8.4 km

7.6 km

- Calculate the time difference between going at 8 km/h and 12 km/h.

- At 12 km/h, he reaches 7 minutes early. Convert 7 minutes to hours: 7/60 hours.

- At 8 km/h, he reaches 14 minutes late. Convert 14 minutes to hours: 14/60 hours.

- The total time difference is 7/60 + 14/60 = 21/60 = 0.35 hours.

- Let the distance be \(d\) km.

- Using the formula \( \text{Time} = \frac{\text{Distance}}{\text{Speed}}\):

- Time at 12 km/h is \(\frac{d}{12}\).

- Time at 8 km/h is \(\frac{d}{8}\).

- The time difference equation: \(\frac{d}{8} - \frac{d}{12} = 0.35\).

- Solving: \(\frac{3d - 2d}{24} = 0.35 \Rightarrow \frac{d}{24} = 0.35 \Rightarrow d = 8.4 \text{ km}\).

Correct Answer: Option 3 - 8.4 km

“”