Question : Two places, P and Q, are 162 km apart. A train leaves P for Q and simultaneously, another train leaves Q for P. They meet at the end of six hours. If the former train travels 8 km/h faster than the other, the speed of the train from Q is:
Option 1: $12\frac{5}{6}$ km/h
Option 2: $10\frac{5}{6}$ km/h
Option 3: $9\frac{1}{2}$ km/h
Option 4: $8\frac{1}{2}$ km/h
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: $9\frac{1}{2}$ km/h
Solution : Given: Two places P and Q are 162 km apart. A train leaves P for Q and simultaneously, another train leaves Q for P. They meet at the end of six hours and the former train travels 8 km/h faster than the other. Let the speed of the train from Q be x km/h. Then the speed of the train from P is (x + 8) km/h. Now in 6 hours the train from Q to P travels 6x km and 6(x + 8) km respectively. Here, 6x + 6(x + 8) = 162 ⇒ 12x = 162 – 48 ⇒ x = $\frac{114}{12} = 9\frac{1}{2}$ Hence, the correct answer is $9\frac{1}{2}$ km/h.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : A passenger train running at the speed of 80 km/h leaves the railway station six hours after a goods train leaves and overtakes it in four hours. What is the speed of the goods train?
Question : P and Q, starting simultaneously from two different places, proceed towards each other at a speed of 20 km/h and 30 km/h, respectively. By the time they meet each other. Q has covered 36 km more than P. The distance (in km) between the two places is:
Question : Direction: A train runs for 2 hrs at the speed of 40 km/h and then runs for 4½ hrs at the speed of 6 km/h and then runs for 3½ hrs, at the speed of 70 km/h. Find the average speed of the train.
Question : Two stations R and S are 400 km apart from each other. A train leaves from R to S and simultaneously another train leaves from S to R. Both trains meet after 10 hours. If the speed of the first train is 4 km/hr more than the second train, then what is the speed of the slower
Question : A and B are 15 km apart and when travelling towards each other, meet after half an hour, whereas they meet two and a half hours later if they travel in the same direction. The faster of the two travels at a speed of:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile