Question : A walks at a speed of 10 km/hr and 20 hours after his start, B starts on his cycle after him at the speed of 15 km/hr. How far from the starting point will B catch A?
Option 1: 600 km
Option 2: 800 km
Option 3: 1000 km
Option 4: 700 km
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Correct Answer: 600 km
Solution : Distance covered by A = Speed of A × Time taken by A. = 10 × 20 = 200 km Now, Relative SpeedB = SpeedB − SpeedA = 15 − 10 = 5 km/hr So,the time taken by B to catch A = $\frac{200}{5}$ = 40 hours So, the distance covered before A was caught = Speed of A × Time taken by B to catch A = 15 × 40 = 600 km Hence, the correct answer is 600 km.
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Question : A man walking at the speed of 8 km/hr covers a certain distance in 5 hours and 30 minutes. If he covers the same distance by cycle in 4 hours, then what is the speed of the cycle?
Option 1: 11 km/hr
Option 2: 15 km/hr
Option 3: 8 km/hr
Option 4: 9 km/hr
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
Question : Find the average speed of a boy if he walks $\frac{1}{6}$th distance with a speed of 5 km/hr and rides a bike to cover the remaining distance at a speed of 25 km/hr. The total distance is 60 km.
Option 1: 15 km/hr
Option 2: 20 km/hr
Option 3: 12 km/hr
Option 4: 13 km/hr
Question : The speed of a boat in still water is 9 km/hr and the speed of the stream is 6 km/hr. If a man goes a distance of 45 km against the stream and comes back to the starting point, then what is the total time taken by him?
Option 1: 20 hours
Option 2: 30 hours
Option 3: 24 hours
Option 4: 18 hours
Question : A person walks 10 km at a speed of 2.5 km/hr, then runs 10 km at a speed of 5 km/hr and then goes 30 km by bus at the speed of 30 km/hr. What is the average speed of the man?
Option 1: 9 km/hr
Option 2: 8.25 km/hr
Option 3: 7.14 km/hr
Option 4: 7 km/hr
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