Question : A car starts from point A towards point B, travelling at the speed of 20 km/hr. $1\frac{1}{2}$ hours later, another car starts from the point and travels at the speed of 30 km/hr and reaches $2\frac{1}{2}$ hours before the first car. Find the distance between A and B.
Option 1: 300 km
Option 2: 240 km
Option 3: 260 km
Option 4: 280 km
Latest: SSC CGL Tier 1 Result 2024 Out | SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL Tier 1 Scorecard 2024 Released | SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: 240 km
Solution : Let the time taken by the first car to reach point B be $t$ hours. The time taken by the second car to reach point B = $t - 1\frac{1}{2} - 2\frac{1}{2} = t - 4$ hours Since the distance travelled is the same for both cars. Distance = Speed × Time So, for the first car, the distance is $20t$ and for the second car, the distance is $30(t - 4)$. $⇒20t = 30(t - 4)$ $\therefore t = 12$ This is the time taken by the first car to reach point B. So, the distance between points A and B = Speed × Time = 20 × 12 = 240 km Hence, the correct answer is 240 km.
Candidates can download this ebook to know all about SSC CGL.
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Question : Two cities A and B are 135 km apart on a straight track. One car starts from A at 8 a.m. and travels towards B at 25 km/hr. Another car starts from B at 9 a.m. and travels towards A at a speed of 30 km/hr. At what time will they meet?
Question : A person travels in a car at 40 km/hr for 3 hours, on a bike at 30 km/hr for 2 hours, and in a train at 80 km/hr for 5 hours. What is the average speed at which he travelled?
Question : A man starts from place P and reaches place Q in 7 hours. He travels $\frac{1}{4}$th of the distance at 10 km/hr and the remaining distance at 12 km/hr. The distance between P and Q 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:
Question : A car travels the first 160 km at a speed of 64 km/hr and the next 160 km at a speed of 80 km/hr. What is the average speed for the first 320 km of the tour?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile