Discussion
A person travelled 80 km in 6 hours. If the person travelled the first part with a uniform speed of 10 kmph and the remaining part with a uniform speed of 18 kmph.
What percentage of the total distance is travelled at a uniform speed of 10 kmph?
Answer: C
43.75% of the distance was covered at 10 kmph.
Let \(x\) km be travelled at 10 kmph and the rest, \(80 - x\) km, at 18 kmph. The times add to 6 hours:
\[ \begin{aligned} \frac{x}{10} + \frac{80 - x}{18} &= 6 \\ 18x + 800 - 10x &= 1080 \\ x &= 35\ \text{km} \end{aligned} \]
The share is \(35/80 = 0.4375\), that is 43.75%.
Check: 35 km at 10 kmph takes 3.5 h and 45 km at 18 kmph takes 2.5 h, 6 h in all. 50.00 would mean equal distances, which gives 4 h + 2.2 h, too long; the other two values do not satisfy the time equation.
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development