Question : The distance between P and Q is 720 km. A train leaves P at 6 am and runs at a speed of 20 m/s. The train stops on the way for 1 hour 30 minutes. At what time the train will reach at Q?
Option 1: 5:00 PM
Option 2: 4:45 PM
Option 3: 5:15 PM
Option 4: 5:30 PM
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Correct Answer: 5:30 PM
Solution : Given: Distance = 720 km Speed = 20 m/s = $20\times\frac{18}{5}$ = $72$ km/hr Starting time = 6:00 am Stoppage = 1 hour 30 minutes or 1.5 hours We know that, Speed = $\frac{\text{Distance}}{\text{Time}}$ ⇒ $72 = \frac{720}{\text{Time}}$ ⇒ Time = 10 hours Including stoppage = 10 + 1.5 hours = 11.5 hours The train will arrive at 6:00 AM + 11.5 hours = 5:30 PM Hence, the correct answer is 5:30 PM.
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Question : A man starts running from point P at 11:00 am with a speed of 10 km/h. He runs for 2 hours and then takes a 1-hour rest. He continues this till he is caught by another man, who starts at 2:00 pm from point P and runs nonstop at a speed of 15 km/h towards the first man. At what time (pm) will the first man be caught?
Option 1: 6:20
Option 2: 4:40
Option 3: 6:00
Option 4: 5:30
Question : Two people A and B are at a distance of 220 km from each other at 10:30 AM. After 30 minutes, A starts moving towards B at a speed of 40 km/hr while at 12 PM, B starts moving away from A at a speed of 30 km/hr. At what time will they meet on the next day?
Option 1: 7:00 AM
Option 2: 4:00 AM
Option 3: 5:30 AM
Option 4: 6:00 AM
Question : By driving the car at an average speed of 40 km per hour, I reach my destination in 7 hours. With what speed I can reach the same destination in 5 hours?
Option 1: 50 km per hour
Option 2: 56 km per hour
Option 3: 55 km per hour
Option 4: 65 km per hour
Question : Directions: A bus driver wants to travel a distance of 200 km. He travels at a speed of 40 km/h. He takes rest at 3 different hotels for 15 minutes, 30 minutes and 15 minutes respectively. He starts his journey at 9:00 a.m. At what time does he reach his final destination?
Option 1: 3:00 a.m.
Option 2: 3:00 p.m.
Option 3: 3:30 a.m.
Option 4: 2:30 p.m.
Question : A train runs from Howrah to Bandel at an average speed of 20 km/h and returns at an average speed of 30 km/h. The average speed (in km/h) of the train in the whole journey is:
Option 1: 20
Option 2: 22.5
Option 3: 24
Option 4: 25
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