Question : During a journey, a person travels half of the distance at a speed of 18 km/h and the remaining half of the journey at a speed of 22 km/h. What is his average speed for the entire journey?
Option 1: 21.4 km/h
Option 2: 20.2 km/h
Option 3: 19.2 km/h
Option 4: 19.8 km/h
New: SSC MTS Tier 1 Answer key 2024 out
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 19.8 km/h
Solution : Let $d$ be the total distance of the journey. Half of the distance at 18 km/h and the remaining half at 22 km/h ⇒ Total Time for the journey = $\frac{d}{2×18}$ +$\frac{d}{2×22}$ ⇒ average Speed = $\frac{\text{d}}{\text{$\frac{d}{2×18}$ +$\frac{d}{2×22}$ }}$ = $\frac{\text{d}}{\text{$\frac{22d}{2×18×22}$ +$\frac{18d}{2×18×22}$ }}$ = $\frac{d}{\frac{40d}{2×18×22}}$ = $\frac{18×22}{20}$ = 19.8 Hence, the correct answer is 19.8 km/h.
Answer Key | Cutoff | Selection Process | Preparation Tips | Eligibility | Application | Exam Pattern
Question : A man covers half part of a certain distance at 60 km/hr. He covers 40% of the remaining distance at the speed of 12 km/hr and covers the rest of the distance at the speed of 18 km/hr. What is his average speed for the entire journey?
Question : A man covers half part of a certain distance at 35 km/hr. He covers 40 percent of the remaining distance at the speed of 8 km/hr and covers the rest of the distance at the speed of 18 km/hr. What is his average speed for the entire journey?
Question : A man covers half part of a certain distance at 25 km/hr. He covers 40% of the remaining distance at the speed of 8 km/hr and covers the rest of the distance at the speed of 18 km/hr. What is his average speed for the entire journey?
Question : If a person travels a certain distance at a speed of 10 km/h and returns through the same route at a speed of 20 km/h, then what will be the average speed during the whole journey?
Question : A man covers half part of a certain distance at 15 km/hr. He covers 40 percent of the remaining distance at the speed of 12 km/hr and covers the rest of the distance at the speed of 21 km/hr. What is his average speed for the entire journey?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile