Question : An athlete runs 8 times around a circular field of radius 7 m in 3 minutes 40 seconds. His speed (in km/hr) is: (Take $\pi=\frac{22}{7}$ )
Option 1: $\frac{72}{25}$
Option 2: $\frac{118}{25}$
Option 3: $\frac{144}{25}$
Option 4: $\frac{108}{25}$
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: $\frac{144}{25}$
Solution : The distance covered by the athlete is the circumference of the circular field multiplied by the number of times he runs around it. The circumference (C) of a circle, $C = 2\pi r$ where r is the radius of the circle. Given: r = 7 m Number of rounds = 8 Substituting these values into the formula, Total Distance = 8 × 2 × $\frac{22}{7}$ × 7 = 352 m The time taken by the athlete is 3 minutes 40 seconds = 220 seconds. $\text{Speed} = \frac{\text{Total Distance}}{\text{Time}} = \frac{352}{220} \, \text{m/s}$ $\text{Speed} = \frac{352}{220} \, \text{m/s} \times \frac{18}{5} \, \text{km/hr} = \frac{144}{25} \, \text{km/hr} $ Hence, the correct answer is $\frac{144}{25}$.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : An athlete runs an 800 m race in 96 seconds. His speed (in km/hr) is:
Question : A man travels 50 km at 25 km/hr, the next 40 km at 20 km/hr, and then 90 km at 15 km/hr. His average speed is:
Question : A car moving in the morning fog passes a man walking at 4 km/hr in the same direction. The man can see the car for 3 minutes and visibility is up to a distance of 130 m. The speed of the car is:
Question : A moving train passes a 50-metre-long platform in 14 seconds and a lamp post in 10 seconds. The speed of the train (in km/hr) is:
Question : A car covers a certain distance in 25 hours. If it reduces the speed by $\frac{1}{5}$th, the car covers 200 km less in that time. The speed of the car is:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile