Question : Suraj starts his journey from point Q at 2 pm. He drives the car at the speed of 40 km/hr for the first three hours and completes the remaining journey at the speed of 30 km/hr. If Rahul starts moving towards Suraj at 6 pm from point Q at the speed of 80 km/hr, then at what time he will catch Suraj?
Option 1: 9: 00 pm
Option 2: 9: 15 pm
Option 3: 9: 36 pm
Option 4: 10: 06 pm
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Correct Answer: 9: 00 pm
Solution : Given: Suraj starts his journey from point Q at 2 pm. The Suraj's speed for the first 3 hours is 40 km/hr and completes the remaining journey at the speed of 30 km/hr. Rahul's speed is 80 km/hr. $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$ The distance Suraj traveled until 6 pm = 3 × 40 + 30 = 120 + 30 = 150 km. The relative speed between Rahul and Suraj = 80 – 30 = 50 km/hr. Time = $\frac{150}{50}$ = 3 hours Rahul will catch Suraj by 6 + 3 = 9: 00 pm. Hence, the correct answer is 9: 00 pm.
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Question : A runner starts running from a point at 5:00 am at the speed of 10 km/hr. The second runner starts from the same point at 8:00 am in the same direction with a speed of 15 km/hr. At what time of the day will the second runner will overtake the first runner?
Option 1: 2:00 pm
Option 2: 12:30 pm
Option 3: 12:00 pm
Option 4: 1:00 pm
Question : A man covers half part of a certain distance at 15 km/hr. He covers 40 percent of the remaining distance at the speed of 12 km/hr and covers the rest of the distance at the speed of 21 km/hr. What is his average speed for the entire journey?
Option 1: $\frac{140}{9}$ km/hr
Option 2: $15$ km/hr
Option 3: $\frac{164}{9}$ km/hr
Option 4: $\frac{139}{9}$ km/hr
Question : Ravi drives 200 km from Dungarpur to Udaipur. His average speed is 50 km/hr. He leaves Dungarpur at 8: 20 am. By what time he will reach Udaipur?
Option 1: 1: 00 pm
Option 2: 12: 20 pm
Option 3: 10: 00 am
Option 4: 11: 30 am
Question : A train starts at 3:00 pm from Mumbai and moves towards Ahmedabad at the speed of 20 km/hr. Another train starts from Ahmedabad at 8 pm and moves towards Mumbai at the speed of 60 km/hr. If the distance between Mumbai and Ahmedabad is 600 km, then at what time both the trains will meet?
Option 1: 1:30 am
Option 2: 12:30 am
Option 3: 2:00 am
Option 4: 2:15 am
Question : A man covers half part of a certain distance at 60 km/hr. He covers 40% of the remaining distance at the speed of 12 km/hr and covers the rest of the distance at the speed of 18 km/hr. What is his average speed for the entire journey?
Option 1: 24 km/hr
Option 2: $\frac{58}{3}$ km/hr
Option 3: 36 km/hr
Option 4: 40 km/hr
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