9 hrs after a goods train passed a station, another train travelling at a speed of 72 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 3 hours. What is the speed of the goods train?

LohaHridoy
  1. 21.6 km/hr
  2. 27 km/hr
  3. 18 km/hr
  4. 14.4 km/hr

0 like 0 dislike
1 views
Share with your friends

1 Answers

AhmedNazir

Call

Option 3 : 18 km/hr

We know that

Speed = Distance/Time

Distance travelled by second goods train in 3 hrs. = 72 × 3 = 216 km.

Total time taken by first goods train = 9 + 3 hrs. = 12 hrs.

∴ The required speed = 216/12 = 18 km/hr.

Smart approach

Time taken by 1st train (Goods train) = 3 hrs

Time taken by 2nd train = 9 + 3 = 12 hrs

Time ratio = 3 : 12 = 1 : 4

As, distance is same, hence speed ratio = 4 : 1

According to question, 4 = 72 km/h

∴ 1 = 72/4 = 18 km/h

0 like 0 dislike
1 views
Talk Doctor Online in Bissoy App
Distance between 2 stations A & B is 1200 km. A train left the station 'A' at 9 am with a speed of 60 km/hr. After 1 hour 30 mins; another train started from the same station with a speed of 80 km/hr. At what time both trains will meet each other. Also find at what distance from station B, 2nd train will meet the 1st train?

Option 4 : 3 pm; 840 kmGiven: Distance between 2 stations A & B is 1200 km. A train left the station 'A' at 9 am with a speed of 60...

1 Answers 1 views
A train started travelling from station X to station Y at a speed of 80 km/hr., while another train started travelling from station Y to station X at the same time at a speed of 70 km/hr. If the distance between the stations X and Y is 330 km, then at what distance from station X will the two trains meet?

Option 3 : 176 km∵ The two trains are moving towards each other, i.e., in opposite directions, hence, their relative speed is the sum of their individual speeds ⇒ Relative speed...

1 Answers 1 views
A train is travelling from A to B at a speed of 50 km/h and at the same time another train is travelling from B to A at a speed of 30 km/h. If they meet after 5 hours, what is the distance between A and B?

Option 2 : 400 kmFormula used: Distance = Speed × Time Time = Distance/Speed When two bodies move in opposite direction, Relative Speed = Sum of Speeds Calculation: Let the distance between A and B be x km. Relative...

1 Answers 1 views
A 200 m long train overtakes another 160 m long train in 24 sec. If the speed of the slower train is 72 kmph, what is the speed of the faster train?

Option 3 : 126 kmphGIVEN: Length of trains = 200m and 160m Speed of Slower train = 72kmph FORMULA USED: 1. Relative Speed of the trains (while running in a same direction) = (Speed...

1 Answers 1 views
Two stations L and M are 180 km apart from each other. A train leaves from L to M and simultaneously another train leaves from M to L. Both trains meet after 9 hours. If the speed of the first train is 10 km/hr more than the second train, then what is the speed (in km/hr) of the slower train?

Option 2 : 5Let the speed of slow train is S km/hr then speed of fast train is (S + 10) km/hr (Speed of slow train + Speed of fast train)...

1 Answers 1 views
A person X sets out to walk from A to B and at the same time another person Y starts to walk from B to A. After passing each other, X and Y complete their journeys in 3 hours 20 minutes and 4 hours 48 minutes respectively. If X walks at the speed of \(4\frac{1}{2}\) km/hour, what is the speed (in km/hour) of Y?

Option 1 : \(3\frac{3}{4}\)Let the distance travelled by X be d Let the speed of Y be a km/hr Speed = Distance/Time Total distance of journey = 4.5 × (3.33) + a ×...

1 Answers 2 views
A train A leaves Station X at 7 a.m. and reaches Station Y at 11 a.m. Another train B leaves Station Y at 9 a.m. and reaches Station X at 12.30 p.m. The distance between these two stations are 28 km. At what time do the two trains cross each other?

Option 2 : 9.56 a.m.Distance = 28 km Time taken by train A = 4 hrs Speed of train A = 28/4 = 7 km/hr Time taken by train B = 3.5 hrs Speed...

1 Answers 1 views
A train departs from Station P at 2 PM and reaches other station Q at 7:00 PM. Another train departs from station Q at 3:00 PM and reaches the station 8:00 PM. At what time the two trains will cross each other?

Option 1 : 5:00 PMGiven: Train 1: Starts from P at 2 PM and reach Q at 7:00 PM Train 2: Strat from Q at 3:00 PM and reach P at 8:00...

1 Answers 2 views
After covering a distance of 180 km with a uniform speed there is some defect in train engine and therefore, its speed is reduced to 60% of its original speed. Consequently, the train reaches its destination late by 17.6 hours. Had it happened after covering 90 km more, they would have reached 16.4 hours late. Then, what is the distance is covered by the train?

Option 2 : 1500 kmFormula Used: Time = Distance/Speed

1 Answers 1 views
Ram and Shyam started travelling from points A and B which is 710 km apart. Ram is travelling by train towards point B at a speed of 50 km/hr and Shyam is travelling by bus towards point A at a speed of 30 km/hr. Shyam started travelling 3 hours after Ram and they met at a point P after cetrain time. Find the distance between point P and point A.?

Option 4 : 500 kmGiven: Distance from A to B is 710 km, Ram is travelling by train towards point B at speed = 50 km/hr Shyam is travelling by bus towards point...

1 Answers 3 views
X