Question : In a 5 km race, S gave a 500 m head start to T. If they finished the race at the same time and the speed of T is 13.5 km/hr, the speed of S is:
Option 1: 15 km/hr
Option 2: 20 km/hr
Option 3: 17.5 km/hr
Option 4: 16.5 km/hr
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 15 km/hr
Solution : Let the speed of S as \(v\) km/hr. Given that S gave a 500 m (or 0.5 km) head start to T, S has to run 5 km while T runs 4.5 km. Since they finish the race at the same time, their times are equal. $⇒\frac{\text{Distance of S}}{\text{Speed of S}} = \frac{\text{Distance of T}}{\text{Speed of T}}$ Substituting the given values into the equation, $⇒\frac{5}{v} = \frac{4.5}{13.5}$ $⇒v = \frac{5 \times 13.5}{4.5} = 15 $ Hence, the correct answer is 15 km/hr.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : Zeenat and Nasreen participate in a circular race of 1.2 km. They start the race at a speed of 18 km/hr and 27 km/hr respectively, from the same point at the same time. After how much time (in minutes) will they meet at the starting point for the first time, if they are
Question : One-third part of a certain journey is covered at the speed of 10 km/hr, one-fourth part at the speed of 15 km/hr, and the rest part at the speed of 20 km/hr. What will be the average speed (in km/hr) for the whole journey?
Question : A boat can move upstream at 25 km/hr and downstream at 35 km/hr. What is the speed of the current?
Question : A ship goes at 18 km/hr downstream and at 16 km/hr upstream. What will be the speed of the ship in still water?
Question : A boy covers a certain distance between his house and school on a cycle. Riding at an average speed of 15 km/hr, he is late by 10 min. However, with an average speed of 20 km/hr, he reaches the school 5 min earlier. Find the distance between his house and school.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile